Question

A kite store has a kite tethered to the top of a 6 foot pole at the beach. The kite is flying at a height, H, of 126 ft above the ground. The angle between the string and the ground is 60°. What is the length of the kite string, L?

Answer 1

Answer:

P is the position of the kite. Its height from the point Q (on the ground)=PQ=60m

Let OP=l be the length of the string

∠POQ=60

o

(given)

sin(Θ)=

Hypotenuse

Opposite

Now,

OP

PQ

=sin60

o

⇒

l

60

=sin60

o

=

2

3

⇒

l

60

=

2

3

⇒ l=

3

3×2×20

m

⇒ l=40

3

m