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2 years ago

Please someone help!!!!

Mathematics

1 answer:

ira [324]2 years ago

6 0

Answer:

165.8 ft (nearest tenth)

Step-by-step explanation:

We can use the tan trig ratio to calculate the height of the tower.

$\sf tan(\theta)=\dfrac{O}{A}$

where:

$\theta$ = the angle
O = the side opposite the angle
A = the side adjacent the angle

From inspection of the diagram:

$\theta$ = 37°

O = height of tower (let's call this h)
A = 220 ft

Substituting these values into the trig tan ratio:

$\sf \implies tan(37)=\dfrac{h}{220}$

Multiply both sides by 220:

$\sf \implies 220tan(37)=h$

$\sf \implies h=220tan(37)$

$\sf \implies h=165.781891$

Therefore, the height of the tower is 165.8 ft (nearest tenth)

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