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3 years ago

Please help me!

Mathematics

1 answer:

Scilla [17]3 years ago

6 0

Answer:

573.6 ft

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship of right triangle sides and angles:

Tan = Opposite/Adjacent

This tells us ...

tan(61°) = (height)/(distance to first point)

distance to first point = height/tan(61°)

Likewise, ...

distance to second point = height/tan(32°)

Then the difference of the distances is ...

distance to second point - distance to first point

= height/tan(32°) -height/tan(61°)

600 ft = height × (1/tan(32°) -1/tan(61°))

Dividing by the coefficient of height, we have ...

height = (600 ft)/(1/tan(32°) -1/tan(61°)) ≈ (600 ft)/(1.04603) ≈ 573.6 ft

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