MATH 9 Q4M9 Solving Problems Involving Angle of Elevation

A hiker is 400 meters away from the base of the radio tower. The angle of

elevation to the top of the tower is 46^𝑜 . How high is the tower?

• 414.41 𝑚

• 414.11 𝑚

• 414.31 𝑚

• 414.21 𝑚

A 6 ft. man casts a 10.2 ft. shadow. What is the angle of elevation of the sun?

• 30^𝑜 29′

• 30^𝑜27′

• 30^𝑜28′

• 30^𝑜 30′

Richard, Robert, Roger, Michael, Nicole, Arnold, and Nelsen placed an 18-foot

ladder against a side of a building. The base of the ladder was positioned at

an angle of 68^𝑜 with the ground for secure footing. What is the distance of the

base of the ladder to the side of the building?

• 5.74 𝑓𝑡

• 6.74 𝑓𝑡

• 7.74 𝑓𝑡

• 8.74 𝑓𝑡

Richard, Robert, Roger, Michael, Nicole, Arnold, and Nelsen placed an 18-foot

ladder against a side of a building. The base of the ladder was positioned at

an angle of 68𝑜 with the ground for secure footing. What is the distance far up the side of the building

the ladder would reach?

• 16.69 𝑓𝑡

• 16.59 𝑓𝑡

• 16. 7 𝑓𝑡

• 16.49 𝑓𝑡

David Pascual, Andrew Andino, Benjie Aguilar, and Kiel Resureccion are

joining the Mandurah Action Sports Games with about 12,000 people coming

over to witness the event. The ramp is 64 ft. long and 31 ft. high. What is the

measure of the angle that the ramp makes with the ground?

• 28^𝑜

• 28^𝑜58′

• 8^𝑜48′

• 29^𝑜

A 37-ft pole casts a 21 ft. shadow. What is the angle of elevation of the sun?

• 60^𝑜 11′

• 60^𝑜25′

• 60^𝑜35′

• 60^𝑜

If a kite makes an angle of 39o30’ with the level ground when a 460 feet of

string is out. How high is the kite?

• 292.6 𝑓𝑡

• 292.59 𝑓𝑡

• 292 𝑓𝑡

• 292.5 𝑓𝑡

The angle of elevation of a building 80 meters high from a man on the

ground is 50^o42’. How far is the man from the building?

• 65.46 𝑚

• 65.4 𝑚

• 65.48 𝑚

• 65.49 𝑚

A 5-ft man casts a 10.8 ft. shadow from the sun. What is the angle of

elevation of the sun?

• 25^𝑜

• 24^𝑜 55′

• 24^𝑜 51′

• 24^𝑜 50′

A guy wire which is 14 meters long is fastened from the ground to a pole 6.7

meters above the ground. What is the angle of the wire that makes with the ground?

• 28^𝑜 36′

• 28^𝑜35

• 28^𝑜40′

• 28^𝑜