### Measuring Distance Across a Pond Using Triangles**Scenario:**A surveyor uses the triangles shown in the diagram to measure the distance across a pond. **Details of the Method:**1. The diagram consists of two overlapping triangles.2. Each side length of the triangles is provided: - One triangle has side lengths of 29 feet, 41 feet, and another 29 feet. - The other triangle includes the side lengths of 41 feet, 52 feet, and one of the 29 feet sides overlaps with the first triangle’s 29 feet side. **Explanation of the Diagram:**- The two triangles are positioned such that they overlap, creating a larger composite shape.- The 41 feet side is shared between the two triangles in the diagram.- The overlapping triangles include points on the edges of a pond, allowing them to be used to calculate the distance across the pond without direct measurement across the water.**Question:**Using the given triangle dimensions in the diagram, what is the measured distance across the pond?**Options:**- 29 ft- 41 ft- 52 ft- cannot be determined**Understanding the Concept:**- To deduce the distance across the pond using the properties of similar triangles and the given measurements.**Answer:** (Please select the correct answer).This exercise demonstrates practical applications of geometry and triangle properties in real-world situations, like surveying land features.

It is given that, Here we have to find the distance across the pond.

Answered: A surveyor uses the triangles shown in…

Math

Geometry

A surveyor uses the triangles shown in the diagram to measure the distance

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter10: Measurement, Area, And Volume

Section: Chapter Questions

Problem 21CP

See similar textbooks

Related questions

Q: State the number of possible triangles that can be formed using the given measurements, then sketch…

Q: What is a isosceles triangle

Q: The figure below shows one of the steps used in inscribing an equilateral triangle in a circle. True…

Q: the area of a sector of a circle with a central angle of 140 is 70m^2. find the radius of the circle

Q: Find the area of a parallelogram if the angle between two of the sides is 60° and the two sides are…

Q: Are the two triangles (not drawn to scale) similar? If so, explain why they are. 41 13 770 160 40 36…

A: Apply the similarity property of the triangle. Apply some application of AAA. If into triangle…

Q: Find the area of a segment of a circle if the central angle of the segment is 120° and the radius is…

Q: Refer to triangle XYZ, find watch ratio

A: Given triangle is :

Q: Find the measures of angles 1 and 2

Q: ) Are the triangles similar? *

A: Given triangle ABC and MNL

Q: Based on the image below, the measure of angle BGE is _degrees. *

Q: Find the area of a segment of a circle if the central angle of the segment is 130° and the radius is…

A: You have posted multiple questions. As per the instruction, we will be answering only the first…

Q: The figure shows triangle ABC inscribed in circle D. If the measure of angle CBD = 44°, what is the…

A: Given ∠CBD=44°

Q: Find the area of a parallelogram if the angle between two of the sides is 60∘ and the two sides are…

A: Given : To determine the area of a parallelogram if the angle between two of the sides is 60° and…

Q: The diameter of a wheel is 48 inches. degrees through which a point on the circumference turns when…

Q: Find the smallest angle (in degrees) of a triangle whose sides have lengths of 2√2, 2√3, and √6+√2.

A: We have to find the smallest angle.

Q: Which type of triangle is shown below? 十

A: step 2 complete solution

Q: Find the area of a segment of a circle if the central angle of the segment is 500 and the radius is…

A: We find the area of the shaded region by individually calculated the area.

Q: In the distance formula, what part of a right triangle does d represent?

A: We are required to find what part of a right triangle does d represent in the distance formula.

Q: In the figure below, what is the length of side s?

Q: The area of a sector of a circle with a central angle of 140degree is 70 m2 . Find the radius of…

Q: Find the missing length of the triangle.

A: *** Reminder: Do not forget to put unit for your answer if the question has provided you with such…

Q: In circle E, AB is parallel to CD and segment BC is a diameter.

Q: 1) Describe the information you need to have in order to use the Pythagorean Theorem to find the…

Q: What is line segment AF relative to triangle ABC? E 90 X

Q: Find the lengths of the sides of the given triangle.

Q: A forest fire was spotted from Lookout point 1 and Lookout point 2. What is the distance from the…

A: Given

Q: find the other sides and angles of the triangle.

Q: 9 mi 7 mi N 65 mi

A: The given sides of the triangle are: 7mi, 9mi, 65mi The biggest side is: 9 And, the other two sides…

Q: An environmental club is designing a logo using triangles, as shown at the attached figure down…

A: NOTE: Refresh your page if you can't see any equations. . here we have AB=1.2 BC=AC=15 CD=CE=x…

Q: Use the Pythagorean Theorem to find the missing side of the night triangle below.

A: Let the length of missing side = x apply Pythagoras theorem

Q: What is the measure of the central angle in the hexagon below?

Q: A circle is centered on point B. Points A, C and D lie on its circumference. If ZABC measures 70°,…

A: The angle subtended by an arc in the center of circle is twice the angle subtended at the center. In…

Q: Use the converse of the Pythagorean Theorem to show that a triangle whose sides are of lengths 11,…

A: Given: A triangle whose sides are of lengths 11, 60, and 61.

Q: NOTE: The triangle is NOT drawn to scale. 103 43° 37°

A: We have to find the value of x.

Q: 100 ft 57 ft

A: Law of sin, sinθ = PH where P is perpendicular of the right angle triangle to the base and H is the…

Q: Do the following lengths form a right triangle?

A: A right-angled triangle follows the Pythagorean theorem c2=a2+b2. we will check the same for all the…

Q: The figure shows triangle ABC inscribed in circle D. B. C A If the measure of angle CBD =44°, what…

A: Use the fact the angle A is half of the angle D

Q: The segments shown below could form a triangle. 9 A 4 с B ● A. True 11 B A

A: Given that the segments show below To find the segments of the line are triangle it is true or…

Q: An angle with a measure of-215° would have a terminal side in what quadrant?

A: An angle with a measure of -215 degree would have a terminal side in

Q: How many circles must one make to create an equilateral triangle?

A: Geometry construction problem solved.

Q: Given the side lengths, determine whether the triangle is acute, obtuse, right, or not a triangle.…

A: here 5^2+9^2=106 10^2=100 here 106>100 so, obtuse triangle.

Q: On a softball diamond (actually a square), the distance along the base paths is 60 ft. Using the…

A: Given

Q: Each angle of an equiangular triangle has measure ____?

A: To write: The measure of each angle in a equiangular triangle.

Q: As shown, AABC must be an isosceles triangle.

Q: Draw a triangle in which all the sides are different lengths.

A: The triangle in which all sides are of different lengths is known as scalene triangle.

Q: Solve a right triangle that has a 40° angle and a 20 inch hypot

Q: Use the figure below and the word bank to classify each triangle with its most precise name by its…

Q: The area of a circle is 600 ?2. Find the area of a sector of this circle that subtends a central…

Question

### Measuring Distance Across a Pond Using Triangles

**Scenario:**
A surveyor uses the triangles shown in the diagram to measure the distance across a pond.

**Details of the Method:**
1. The diagram consists of two overlapping triangles.
2. Each side length of the triangles is provided:
- One triangle has side lengths of 29 feet, 41 feet, and another 29 feet.
- The other triangle includes the side lengths of 41 feet, 52 feet, and one of the 29 feet sides overlaps with the first triangle’s 29 feet side.

**Explanation of the Diagram:**
- The two triangles are positioned such that they overlap, creating a larger composite shape.
- The 41 feet side is shared between the two triangles in the diagram.
- The overlapping triangles include points on the edges of a pond, allowing them to be used to calculate the distance across the pond without direct measurement across the water.

**Question:**
Using the given triangle dimensions in the diagram, what is the measured distance across the pond?

**Options:**
- 29 ft
- 41 ft
- 52 ft
- cannot be determined

**Understanding the Concept:**
- To deduce the distance across the pond using the properties of similar triangles and the given measurements.

**Answer:** (Please select the correct answer).

This exercise demonstrates practical applications of geometry and triangle properties in real-world situations, like surveying land features.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Basics (types, similarity, etc)$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.

Similar questions

On a map, San Francisco, Las Vegas, and Los Angeles form a triangle whose sides the shown in the figure below. The actual distance from Los Angeles to Las Vegas is 270 miles. Find the distance from San Francisco to Las Vegas.
One angle of a right triangle measures 45°. What is the measure of the other small angle?
Reflectors The reflectors in each lane-marking stripe on a highway are spaced 16 yards apart. How many reflectors are needed for a one mile long lane-marking stripe?
An amusement park ride the Octopus has eight support arms that are equally spaced about a circle. What is the measure of the central angle formed by two consecutive arms?
A ceiling fan has equally spaced blades. What is the measure of the angle formed by two consecutive blades if there are a 5 blades? b 6 blades?
Surveying A triangular parcel of land has 115 meters of frontage, and the other boundaries have lengths of 76 meters and 92 meters. What angles does the frontage make with the two other boundaries?
Find the three angles of the triangle whose sides have lengths a=6 centimeters, b=8 centimeters, and c=12 centimeters.
A wheel has equally spaced lug bolts. What is the measure of the central angle determined by two consecutive lug bolts if there are a 5 bolts? b 6 bolts?