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7. Tom is feet tall. If Tom stands 30 feet from the base of an apple tree looking up at an apple in the tree at an angle of sight of 48°, how far is the apple from the ground?
A. 25.6 feet
B. 27.8 feet
C. 33.2 feet
D. 38.8 feet

Respuesta :

Answer:

D. 38.8 feet.

Step-by-step explanation:

Let the height of the apple be x + 5.5 feet.

Then tan 48 = x / 30

x = 30 tan 48

x = 33.3 feet.

So the height of the apple = 33.3 + 5.5

= 38.8 feet.

fichoh

Using the concept of Trigonometry, the distance of the apple from the ground would be 38.8 feets.

Using Trigonometry : SOHCAHTOA. ;

Tan θ = opposite / Adjacent

Tan(48) = x / 30

Cross multiply

30 × Tan(48) = x

x = 33.32 feets

Initial height of Tom = 5.5 feets

Distance of apple from ground = x + initial height

33.32 + 5.5 = 38.82 feets

Hence, the most appropriate option is D.

Learn more : https://brainly.com/question/25677607

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