Question

the angle of depression of a car standing on the ground from the top of a 66 m tower is 30° .find the distance of a car from the base of the tower

Answer 1

Answer:

We know that

perpendicular/ base = tan theta

So

AB/BC = tan 30°

66/X = 1/√3

66√3 = x

114.31 is the answer

Answer 2

given,

AB denotes the tower of length 66m and C denotes the position of car. hence, CBthe distance of the car and base of the tower. and angle c denotes the angle between car and top of the tower so angle c =30

we have to find the length CB.

in triangle ABC ,

tan c =perpendiculardivided by base

ta n 30 degree equals to ab by cb

TaN 30 degree is equals to 66 by cb

also by Trigonometric Table tan 30 =1by root. 3