Question

Find the angle of elevation of sun altitude when the length of the shadow of vertical pole is equal to its height.​

Answer 1

Step-by-step explanation:

In right angled △ABC, AB represents the vertical tower and BC represents the shadow. θ represents the elevation angle of the sun.

⇒ tanθ=

BC

AB

⇒ tanθ=

x

h

But length of shadow = Height of the tower, i.e h=x.

∴ tanθ=

h

h

⇒ tanθ=1

∴ θ=tan

−1

(1)

∴ θ=45

o

Thus, elevation angle of sun is 45

o

.