The string of a kite is 100m long and it makes an angle of 60∘ with the hor

Question

The string of a kite is 100m long and it makes an angle of

60^{\circ}

with the horizontal. Find the height of the kite from the ground, assuming that there is no slack in the string.

Options:

A . 100√3

B . 200√3

C . 50√3

D . 100√3

Answer: Option C
:
C

We know, angle of elevation =

60^{\circ}

\Rightarrow

sin

θ

\frac{p e r p e n d i c u l a r}{h y p o t e n u s e}

\Rightarrow

sin

60^{\circ}

\frac{\sqrt{3}}{2}

\frac{h}{100}

\Rightarrow

h = 50

\sqrt{3} m

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