A kite is flying with a string of length 200 m. If the thread makes an angle of 300 with the ground, find the distance of the kite from the ground level. (Here, assume the string is along a straight line)

A kite is flying with a string of length 200 m. If the thread makes an angle of 30⁰ with the ground, find the distance of the kite from the ground level. (Here, assume the string is along a straight line)

Solution: 

Let h be the height of the kite from the ground level.

In, ∆ ABC, AC be the length of the string,

Given that ∠ CAB = 30⁰  and AC = 200 m.

In the right angled triangle, ∆ CAB

sin30⁰ = ^h/₂₀₀

∴ ½ = ^h/₂₀₀

_{∴ h =} ²⁰⁰/₂

_{∴ h = 100 m.}

_{Hence the height of the kite from the ground level is 100 m.}