Question

Beth is flying a kite with 300 feet of string. The kite gets stuck in a tree, so she ties the other end of the string to a rock on the ground making the string taut. The angle of elevation from the rock to kite is 35 degrees. How far up the tree is the kite? Round your answer to the nearest tenth. (No links please)

Answer 1

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Answer 2

`\displaystyle 172.1 ft`

Explanation:

refer the attachment

let the string be hypotenuse and

the height be h And the angle be 35°

given that,

• hypotenuse:300ft
• angle:35°

since we are given the hypotenuse and want to figure out the opposite side we'll use sin function

so our equation would be

`\displaystyle \sin( {35}^( \circ) ) = (h)/(300)`

cross multiplication:

`\displaystyle h= 300 \sin( {35}^( \circ) )`

by using calculator we obtain:

`\displaystyle h = 172.1`

hence,

about 172.1ft far up the tree is the kite