Elevation and Depression

1. The height of the Empire State Building is 1050 feet. At the bottom, there is Barack Obama 2885 feet away ready to give a commencement speech. Find the angle of depression from the top of the tower to Barack Obama.

$10 \textdegree$

$20 \textdegree$

$30 \textdegree$

$40 \textdegree$

Question 1 of 8

2. A person is 90 feet from a bakery. The angle of elevation to the top of the bakery is 30 degrees. Find the height of the bakery.

$52$ feet

$60$ feet

$42$ feet

$78$ feet

Question 2 of 8

3. Matt stands at the top of a 100 foot tall cliff. He spots a boat 600 feet off shore. What is the angle of elevation from the boat to Matt?

$9.46 \textdegree$

$59 \textdegree$

$80.5 \textdegree$

$11.7 \textdegree$

Question 3 of 8

4. From a certain point, the angle of depression of the top of the leaning tower of Pisa is 30 degrees. From a point 75 feet near the bottom of the building, the angle of elevation is 65 degrees. Find the height of the building.

$43.4$ feet

$54.45$ feet

$161.8$ feet

$179.7$ feet

Question 4 of 8

5. An observer on the ground looks up to the top of a building at a 30 degree angle. After moving 50 feet closer, the angle of elevation is now 40 degrees. Solve for the original distance from the base of the building.

$183$ feet

$167$ feet

$204$ feet

$160$ feet

Question 5 of 8

6. How far from the vertical wall of a mountain is the base of a 30 foot ladder that makes a 75 degree angle with the ground?

$7.8$ feet

$9.1$ feet

$12.3$ feet

$13.7$ feet

Question 6 of 8

7. The angle of elevation from the bottom of a life to the top of a mountain is 33 degrees. If a person rides 1000 feet on this lift to the top, what is the height of this mountain?

$545$ feet