Activity 4 Directions: Illustrate and solve the following problems. 1. The angle of elevation from a boat to the top of a 78-meter hill is 15. How far is the boat from the base of the hill? 2. A 8-meter high post casts a 20-meter shadow. Find the angle of elevation to the sun. 3. From the top of a coconut tree that is 20 m tall, a dog is spotted at an angle of depression of 35º. How far away is the dog from the base of the tree? 4. An airplane flying at an altitude of 563 m is 2 km from the airstrip What is the angle of depression from the plane to the airstrip? 5. The window of a house is 15 m above the ground. How long must a ladder be in order to reach the window if the angle of elevation is 60°?
The answer is no longer in the market for the late response but I have been trying to get 60°. To the House but I have been trying to get out to work 70° of the square on the house.
1. The angle of elevation from a boat to the top of a 78-meter hill is 15°. How far is the boat from the base of the hill?
Solution:
tan15 = 78/x
x = 78/tan15
x = 291.09996299
x = 291.1 m
2. A 8-meter high post casts a 20-meter shadow. Find the angle of elevation to the sun.
Solution:
tanA = 8/20
A = arctan8/20
A = 21.8014094863518
A = 21.8°
3. From the top of a coconut tree that is 20 m tall, a dog is spotted at an angle of depression of 35º. How far away is the dog from the base of the tree?
Solution:
tan35 = 20/x
x = 20/tan35
x = 28.5629601348
x = 28.56 m
4. An airplane flying at an altitude of 563 m is 2 km from the airstrip. What is the angle of depression from the plane to the airstrip?
Solution:
2km x 1000m/1km = 2000m
tanA = 563/2000
A = arctan 0.2815
A = 15.7219109182741
A = 15.72°
5. The window of a house is 15 m above the ground. How long must a ladder be in order to reach the window if the angle of elevation is 60°?
