✨‼️will mark the brainliest to the one who gives me the answer‼️✨

A boy is flying a kite. The string of the kite has a 40° angle of elevation parallel to the ground. The kite is 30 meters above the ground, and the boy’s hand is 1.5 meters in the air. Find the length of the kite string. Round your answer to the nearest meter.

Respuesta :

Answer:

Step-by-step explanation:

we want to find the Hypotenuse of the triangle being made by the string , the ground and the height off the ground.  Also we will have to subtract the small triangle of the boy's hand from the ground

the big triangle Hyp is found by using

SOH   or  Sin = Opp / Hyp

we know the sin and the Opposite soooo

Sin(40) = 30 / Hyp

Hyp = 30 / Sin(40)    [ I'll use my calculator for this ]

Hyp = 46.67 m   ( this is the Hypotenuse of the big triangle )

the small one is

Sin(40) = 1.5 / Hyp

Hyp = 1.5 / Sin(40)  [calculator again ]

Hyp = 0.9641 m

Now subtract the small one from the big one

46.67 - 0.9641 = 45.7 m

rounding to the nearest meter the answer is 46 m