6. The entrance of an indoor parking space is 1 m above the ground level. A ramp from the ground level is to be built. If the angle of elevation from the base of the ramp to its top is to be 10°, how long should the ramp be?

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Answer 6-11

ACTIVITY
On your paper, draw your figure, label and solve what is asked.DO NOT COPY THE
PROBLEMS ON YOUR PAPER.
1. Rico, who is 175 cm, tall casts a shadow 250 cm long What is the angle of elevation of
sun?
2. The angle of depression from the top of a lighthouse to a ship is 45°. If the lighthouse is 9o
high, How far from the lighthouse is the ship?
3. A building that is 30 m tall casts a a shadow that is 38m long. Find the angle of elevation of the
sun?
4. A surveyor standing on top of a cliff found that the angle of depression of a boat at sea is 22",
If the top of a cliff is 15 m above sea level, how far is the boat from the foot of the cliff?
5. The angle of elevation of the top of a house is measured to be 23.40. After moving 1.6 km
closer, it is found to be 46.2 Find the height of the house?
6. The entrance of an indoor parking space is 1 m above the ground level. A ramp from the
ground level is to be built. If the angle of elevation from the base of the ramp to its top is to be
10°, how long should the ramp be?
7. The angle of elevation to the top of a city plaza's fountain from a point 12 m from its base is 32
0, Find the height of the fountain.
8. A CCTV camera is mounted on a wall 3 m above a teller's desk. It is used to view the bank's
entrance door which has a horizontal distance of 10 m from the camera. Find the angle of
depression from the camera lens to the entrance door.
9. From a height 42 m above sea level, two ships are sighted due east. The angles of depression
are 52 ° and 27 °.How far apart are the ships.
10. The angle of elevation to the top of an Egyptian pyramid Khufu is 36°, measured from a point
110 m from the base of the pyramid. The angle of elevation of a face of the pyramid is 52
Find the height of the pyramid.
11. Olive's house is 16 m from a television tower. From his window, he figured that the angle of
depression to the base of the tower is 24 °, the angle of elevation to the top of the tower is 42 º.
Find the height of the tower.
Transcribed Image Text:ACTIVITY On your paper, draw your figure, label and solve what is asked.DO NOT COPY THE PROBLEMS ON YOUR PAPER. 1. Rico, who is 175 cm, tall casts a shadow 250 cm long What is the angle of elevation of sun? 2. The angle of depression from the top of a lighthouse to a ship is 45°. If the lighthouse is 9o high, How far from the lighthouse is the ship? 3. A building that is 30 m tall casts a a shadow that is 38m long. Find the angle of elevation of the sun? 4. A surveyor standing on top of a cliff found that the angle of depression of a boat at sea is 22", If the top of a cliff is 15 m above sea level, how far is the boat from the foot of the cliff? 5. The angle of elevation of the top of a house is measured to be 23.40. After moving 1.6 km closer, it is found to be 46.2 Find the height of the house? 6. The entrance of an indoor parking space is 1 m above the ground level. A ramp from the ground level is to be built. If the angle of elevation from the base of the ramp to its top is to be 10°, how long should the ramp be? 7. The angle of elevation to the top of a city plaza's fountain from a point 12 m from its base is 32 0, Find the height of the fountain. 8. A CCTV camera is mounted on a wall 3 m above a teller's desk. It is used to view the bank's entrance door which has a horizontal distance of 10 m from the camera. Find the angle of depression from the camera lens to the entrance door. 9. From a height 42 m above sea level, two ships are sighted due east. The angles of depression are 52 ° and 27 °.How far apart are the ships. 10. The angle of elevation to the top of an Egyptian pyramid Khufu is 36°, measured from a point 110 m from the base of the pyramid. The angle of elevation of a face of the pyramid is 52 Find the height of the pyramid. 11. Olive's house is 16 m from a television tower. From his window, he figured that the angle of depression to the base of the tower is 24 °, the angle of elevation to the top of the tower is 42 º. Find the height of the tower.
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