The angle of depression of a car C, from the top of the building of height 100m is {56}^(o) . a) Calculate the distance between the car and the foot of the building? b) Calculat…

Question

The angle of depression of a car C, from the top of the building of height 100m is


`{56}^(o) .`

a) Calculate the distance between the car and the foot of the building?

b) Calculate the angle of elevation of the top of the building from a point D which is 100m from C as shown?​

Answer 1

a) 148.26 m

b) 21.94 degrees

Explanation:

a)

tan 56 = 100/x

1.4826 = 100/x

x = 148.26

b)

148.26 + 100 = 248.26

tan y = 100/248.26

tan y = 0.4028

y = 21.94 degrees