Question

the length of the shadow of a pillar is root3 times its hight. find the angle of elevation of the source of light.

Answer 1

Let AB be the height of the pillar which is x m

Let BC be the shadow of the pillar i.e √3x m

Now we know that perpendicular by base gives tangent of the angle of elevation.

So x/ √3x = tan @
tan @ = 1/✓3
tan @ = tan 30°
@ = 30°

Hence the required angle of elevation of the source of light is 30°

Hope This Helps You!

Answer 2

Answer:answer is 30°

Step-by-step explanation:Let AB be the height of the pillar which is x m

Let BC be the shadow of the pillar which is root3x

Now,p/b=tanA

x/root3x=tanA

1/root3=tanA

tan30=tanA

A=30°