Height And Distance

Height and Distance in just 10 second

Q .At an instant , the length of the shadow of a pole √3 times the height of the pole. Find the angle of the elevation of the sun.

Let height of a pole AB = x
length of a shadow BC = √3x
angle of the elevation of the sun ∠C = θ

A
B√3xC

so as we see in image we have the value of perpendicular and base so in trignometric identities -
tanθ = perpendicular / base = AB / BC

tanθ = x / √3x

tanθ = 1 / √3

tanθ = tan30°

so the angle of the elevation of the sun is 30°.