A tree broken over by the wind forms a right triangle with the ground. If the broken part makes an angle of 50⁰ with the ground and the top of the tree is now 20 feet from its base, how tall was the tree? 55.49 m 54.95 m 45.95 m 59.45 m

A tree broken over by the wind forms a right triangle with the ground. If the broken part makes an angle of 50⁰ with the ground and the top of the tree is now 20 feet from its base, how tall was the tree? 55.49 m 54.95 m 45.95 m 59.45 m

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter1: Trigonometry

Section1.8: Applications And Models

Problem 1ECP: Solve the right triangle shown at the right for all unknown sides and angles.

See similar textbooks

Related questions

Q: how far is the partner from the base of the tower, to the nearest tenth of a foot?

Q: A 200-foot cliff drops vertically into the ocean. If the angle of elevation from a ship to the top…

A: Let the distance of the ship offshore is x feet. A rough sketch of given situation is shown below…

Q: The town of Sofia Germain has a smokestack that is 160 feet high. A guy wire must be fastened to the…

A: Given the height of a smokestack is 160 feet. And a guy wire must be fastened to the smokestack 45…

Q: The angle of depression from a bird sitting on top of a telephone pole to the base of a tree is 63°.…

Q: The angle of depression from an airplane to the top of an air traffic control tower is 56°. If the…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: A 14-ft ladder leans against a building so that the angle between the ground and the ladder is…

Q: From the top of a fence, a person sites a lion on the ground at an angle of depression of 24°. If…

A: Given, the angle of depression of 24 degrees. If the men and the fence are 4.2 meters high, We have…

Q: A fisherman at sea observed that the angle of elevation of a cliff is 21°. What is the distance…

Q: An 8-foot rope is tied from the top of a pole to a stake in the ground, as shown in the diagram…

A: Let, h be the height of the pole. Note : the triangle is a right angle triangle with hypotenuse 8 ft…

Q: The Statue of Liberty is about 151 feet tall. If the angle of elevation from a tree in Liberty State…

Q: A radio tower is located 400 feet from a building. From a window in the building, a person…

A: for the upper triangle, use the tan function tan36=x400 x=400tan36 x=400·0.7265425 x=290.61701

Q: As viewed from a cliff 360 m above sea level, the angle of depression of a ship is 28°. How far is…

A: The objective is to find how far is the ship from the base of the Cliff

Q: A person observes that from point A, the angle of elevation to the top of a cliff at D is 30°.…

A: GIVEN HEIGHT OF CLIFF , DC=80m

Q: From a helicopter flying at 30,000 feet, the angles of depression of two cities are 28 and 55. How…

Q: When a 25-ft ladder is leaned against a wall, it makes a 72° angle with the ground. How high up on…

A: Length of the ladder: 25 ft Let the height of wall be: x ft The ladder makes an angle of elevation…

Q: Relative to the acute angle θ, the three sides of a right triangle are the ________ side, the…

A: Explanation: The longest side of the right triangle, which is also the side opposite the right…

Q: The angle of depression from the top of a building to the base of a car is 60∘. If the building is…

Q: The angle of depression from the top of a tower to a rock on the ground is 38°. If the tower is 25…

Q: 40 ft ladder is leaning against a wall making a 48 degree angle with the ground. Draw a diagram…

Q: Homework Conformation.

Q: Two tugboats that are a = 110 ft apart pull a barge, as shown. If the length of one cable is b = 202…

A: Given that We have to evaluate the angle formed by two cables

Q: From the top of one of the gateposts in Manggahan High School, a bird saw a cat on the ground with…

A: We can make it easier for you

Q: The base of a ladder is 6 ft from the building, and the angle formed by the ladder and the ground is…

Q: A radio tower is located 350 feet from a building. From a window in the building, a person…

A: The angle of elevation to the top of the tower = 28° The angle of depression to the bottom of tower…

Q: From the top of a 200-ft. lighthouse, the angle of depression to a ship in the ocean is 23° . How…

Q: From the top of a 158-ft lighthouse, the angle of depression to a ship in the ocean is 15°. How far…

A: Given that, From the top of a 158-ft lighthouse, the angle of depression to a ship in the ocean is…

Q: A 20-foot ladder leaning against a wall forms an angle of 46° with the ground. How far up the side…

A: ladder length=20 footwe know-sin θ=xladder

Q: A tree broken over by the wind forms a right triangle with the ground. If the broken part makes an…

Q: A lighthouse operator sights a sailboat at an angle of depression of 17 degrees. If the lighthouse…

Q: A building 150 feet tall casts a 30 foot long shadow. If a person looks down from the top of the…

A: Given,

Q: a1. The angle of depression from a bird sitting on top of a telephone pole to the base of a tree 12…

A: we are given with word problem.

Q: The proper angle for a ladder is about 75 from the ground. Suppose you have a 15 foot ladder. How…

A: we have a 15 foot ladder which is attached to a wall at a angle of 75°

Q: A straight kite string makes an angle of 40° with the ground, as shown in the diagram. If y = 200…

A: Given: A straight kite string makes an angle of 40° with the ground also 200 feet string has been…

Q: The Seattle Space Needle casts a 67-meter shadow. If the angle of elevation from the tip of the…

A: Seattle space needle shadow casts on the ground and it's length = 67 m. Angle of elevation from the…

Q: A 16 foot ladder leaning against a wall of a house makes a 50° angle with the ground. How far up the…

A: given: A 16 foot ladder leaning against a wall of a house makes a 50° angle with the ground. we have…

Q: A loading ramp is extended from the back of a truck to form a 30° angle with the ground. The truck…

A: the length of the ramp is xx feet angle with the ground=30°

Q: A 12 meter ladder is inclined against a brick wall at an angle of 15°. If the top of the ladder…

A: To find the height of wall at which ladder reaches. We will use trigonometric ratio We know that…

Q: How tall is a bridge if a 6-foot tall person standing 100 feet away can see the top of the bridge at…

Q: A monument is 95 meters highAt an information booth, an observer notices the angle of elevation to…

Q: The angle of a depression from a lighthouse to a boat in the water is 14°. If the boat is 532 feet…

Q: A 7-ft ladder leans against the side of a house. How far is the bottom of the ladder from the side…

A: Angle of elevation of ladder =64∘ Here we will apply cosine formula which is given as-…

Q: The windshield wiper blade on Julia's car is 21 inches long. Each swipe of the wiper makes an angle…

A: θ=lr Where l is length of arc and r is radius.

Q: Brothers Bob and Tom Katz buy a tent that has a center pole 6.25 feet high. If the sides of the tent…

Q: The angle of depression from a bird sitting on top of a telephone pole to the base of a tree is 63°.…

A: Let α1 be angle of depression. The height of pole is 18 feet. Let the distance between pole and tree…

Q: The Statue of Liberty is approximately 305 feet tall. If the angle of elevation of a ship to the top…

A: A detailed solution is given below.

Q: A 4-m beam is used to brace a wall. If the bottom of the beam is 3 m from the base of the wall, what…

A: Since a 4 m beam is used to brace a wall and given that if the bottom of the beam is 3 m from the…

Q: From the top of a 156 foot lighthouse, the angle of depression to a ship in the ocean is 40°. How…

Q: From one bank of the Abra river the angle of elevation of the top of a cliff on the opposite bank is…

Q: A 16 foot ladder leaning against a wall of a house makes a 50° angle with the ground. How far up the…

Q: The length of a string from the center of a yo-yo to tip of Tony’s middle finger is 12 cm. If Tony…

Question

55.49 m
54.95 m
45.95 m
59.45 m

Figure in plane geometry formed by two rays or lines that share a common endpoint, called the vertex. The angle is measured in degrees using a protractor. The different types of angles are acute, obtuse, right, straight, and reflex.

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 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A pine tree casts a shadow of 80 feet next to a 30-foot tall building which casts a 40 feet shadow. How tall is the pine tree?
The angle of elevation to the top of a flagpole at a distance of 19 feet from its base is 64.6. How tall is the flagpole?
A pine tree casts a shadow of 80 feet next to a 30 foot tall building which casts a 40 feet shadow. How tall is the pine tree?
Show that there is no triangle for which a=4 feet, b=14 feet, and A=60.
Solve the right triangle shown at the right for all unknown sides and angles.
Considering that the consecutive dials on the natural gas meter rotate in opposite directions, what is the current reading in cubic feet of usage? The initial direction is clockwise.