o burps // q2UMHVIDALU. NOVA XIX." " He w PX","11800/10/alove wridertege.. 11.11 Jordan is flying a kite, which gets caught in the top of a tree. The angle of elevation made by the string on the ground

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asked Jul 17, 2023 25.0k views

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o burps // q2UMHVIDALU. NOVA XIX." " He w PX","11800/10/alove wridertege.. 11.11 Jordan is flying a kite, which gets caught in the top of a tree. The angle of elevation made by the string on the ground is 44 degrees. The distance from the bottom of the string to the base of three Is 90 feet. What is the helght of the tree?

Mathematics
high-school

Orj asked

by Orj

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1 Answer

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To find the length of the tree, x we use trigonometric ratio

$\tan \text{ 44 =}\frac{opposite}{\text{adjacent}}$
$\begin{gathered} \text{opposite = x } \\ \text{adjacent = 90ft} \\ \text{tan 44=}(x)/(90) \end{gathered}$
$\begin{gathered} \text{Tan 44 x 90 = x} \\ x\text{ = 86.912 ft} \end{gathered}$

The height of the tree= 86.912ft