Question

The tangent of the angle of elevation of the top of the pillar is equal to 3/4 of their shadow at the vertex, then find the ratio of the height of pillar to the length of the shadow?​

Answer 1

Answer:

In right angle ΔABC, AB represents the vertical pole and BC represents the shadow on the ground.θ represents angle of elevation the sun.

tan θ = h / x

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

tan θ = h/ h = 1

tan θ = tan 45 theta

θ = 45 theta

Thus, angle of elevation of the sun = 45 theta