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PLEASE HELP ASAP !!
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The electric company needs the estimated height of a tree. The shadow the tree makes with the ground is 25 feet and the angle of elevation from the ground to the top of the tree is 55 degrees. How tall is the tree in whole feet ? Explain your answer.

Respuesta :

Answer:

35.7037 feet (rounded up to four decimal places)

Step-by-step explanation:

The shadow the tree makes with the ground is 25 feet.

The angle of elevation from the ground to the top of the tree is 55°

The height of the tree and its shadow meet at 90°

Height(h) of the tree ÷ length of the shadow = tan 55°

i.e [tex]\frac{h}{25}[/tex] = tan 55°

h = 25 × tan 55° = 35.70370017

Or height (h) of the tree is 35.7037 feet (rounded up to four decimal places)