If the length of the shadow of a pole of height begin mathsize 12px style 3 square root of 3 space straight m end style is 3 m. find the angle of elevation of the sun.

Asked by Topperlearning User | 3rd Nov, 2017, 01:03: PM

Expert Answer:

Let AB be the pole and AC be its shadow.

Let the angle of elevation, angleACB = θ0
Then AB = begin mathsize 12px style 3 square root of 3 space straight m end style and AC = 3 m
begin mathsize 12px style tanθ space equals space AB over AC
tanθ space equals space fraction numerator 3 square root of 3 over denominator 3 end fraction
tanθ space equals space square root of 3
straight theta space equals space tan to the power of negative 1 end exponent space square root of 3
straight theta space equals space 60 degree
Thus comma space the space angle space of space elevation space is space 60 degree. end style

Answered by  | 3rd Nov, 2017, 03:03: PM