An engineer stands 145 feet from a building. He uses a transit telescope that stands 5 feet from the ground and views the top of the building. He measures the angle of elevation to be 50° from the horizontal, as shown in the diagram below. What is the height of the building?

An engineer stands 145 feet from a building. He uses a transit telescope that stands 5 feet from the ground and views the top of the building. He measures the angle of elevation to be 50° from the horizontal, as shown in the diagram below. What is the height of the building?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

See similar textbooks

Related questions

Q: Find he re ference anglet 20 °

Q: Hannah leans a 16-foot ladder against a wall so that it forms an angle of 61° with the ground.…

Q: A forest ranger looking out from a ranger's station can see a forest fire at a 35 degree angle of…

A: A forest ranger looking a forest fire at 35 degree angle of depression.

Q: You are designing a circular, pattern that has two stars on the circle with an arc of 50 degrees…

A: The angle made by the arc AB at the center 'O' of the circle is equal to the angle made at the…

Q: You shoot a rocket with an angle of elevation of 60 degrees. If the rocket flies straight at 90…

Q: A six foot man is standing 80 feet away from a building. He looks up at a 30° angle to see the top…

Q: A woman is watching a launched rocket currently 13 miles in altitude. If she is standing 3 miles…

A: The given information ( Rocket altitude = 13 miles and women standing at 3 miles from the launchpad…

Q: Mo is on a baseball team and hears that a ball thrown at a 44 degree angle from the ground will…

A: Given, Mo is on a baseball team and hears that a ball thrown at a 44 degree angle from the ground…

Q: 8. The local Parks and Recreation department bought a new slide for the local playground. The slide…

A: We will make the diagram to find the angle of depression.

Q: Henry is sitting in a tree 32 feet above the ground watching a deer. If the deer is 57 feet from the…

A: Given: Henry is sitting in a tree 32 feet above the ground. He watching the deer is 57 feet from the…

Q: The shadow of a man is 10 feet long when the angle of elevation of the sun is 30.5°. Determine the…

Q: The Eiffel tower is 970 feet tall, Ie the shadow iS 1200 feet lang at 11:00 am, what is the angle of…

A: topic - inverse trigonometric ratios

Q: Tamara wants to calculate the height of a tree outside her home. Using her clinometer, she measures…

Concept explainers

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

Question

What is the height of the building?

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

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Ratios$

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

Laura is flying a kite at a local park. She let's out 60 m of her kite string,which makes an angle of 68° with the ground. Determine the height of the kite above the ground?
You are standing on a boat that is 150 feet from a cliff. If you look up at a 35 degree angle you can see your friend on the top of the cliff. How tall is the cliff? [height]
You are standing on top of a cliff 500 ft. above the ocean looking out at the water. You see a whale surface 3000 ft. from the base of the cliff. What is the angle of depression from your vantage point to the whale? Write your answer using degrees rounded to the nearest hundredth.
You are standing at the top of a lighthouse, looking down towards a boat on the water. From your position in the lighthouse, you are 67.7 metres above ground. The boat is a horizontal distance of 74.7 metres from the lighthouse. Determine the measure of the angle of depression formed between you and the boat. State your answer as a numeric value only, rounded to the nearest tenth of a degree.
You are standing at the peak of a 1500 meter mountain. You look down below and spot the tent you are sleeping in at an angle of depression of 68 degrees. How far is your tent from the base of the mountain? Round your answer to the nearest tenth.
Jojo and Kayla are staring up at a hot air balloon balloon. Jojo is directly east of the hot air balloon balloon and Kayla is directly west. The angle of elevation from Jojo to the hot air balloon balloon is 35°. The angle of elevation from Kayla to the hot air balloon balloon is 37°. Jojo and Kayla are 280 feet apart. Find the height of the hot air balloon balloon above the ground. Round to two decimal places as necessary.
Please help
An airplane is one mile above sea level when it begins to rise at a constant angle of 2 ° for the next 70 miles, measured above the surface. How far away will the plane be when it reaches the 70-mile point?
In the final seconds before the plane landed in the Hudson, the pilot slowed the plane. While the plane slowed it climbed from 210 ft at 3:29.58 to 370 ft at 3:30.17. An elevation change of 160 ft over a distance of 2000 ft. What was the angle of ascent for the plane (e) as it slowed? Round your answer to the nearest hundredth (second decimal place).
Donovan is a firefighter who has been called to rescue a cat that is stuck in a tree. He has a 25-foot ladder that he will use to become a hero for Destiny, the owner of the cat. The angle of elevation from Donovan's feet on the ground at the bottom of the ladder is 34°. What is the height of the tree (in feet) rounded to the nearest hundredth?
(g) A helicopter hovers 750 feet above a small island in the ocean. A person sees the helicopter with an angle of elevation of 60° with the horizon while swimming in the ocean. How far is the person from the helicopter?
You are standing 100 meters from the base of a tower. The angle of elevation from where you are standing to the top of the tower is 38 degrees. How tall is the tower?