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No logro sacar el resultado de esto.​

No logro sacar el resultado de esto.​-example-1
User Indimental
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1 Answer

3 votes

The shadow would be the adjacent cathetus to the angle and the height is the opposite cathetus, then we need to use the tangent rule, we will get:

height = 57.98ft*tan(34.6°)

None of the given options represent the height.

How to get the height?

We know that the shadow has a length of 57.98ft, and the angle of elevation of the sun is 34.6°

If we step at this angle, the shadow is the adjacent cathetus and the height is the opposite cathetus.

Remember the tangent trigonometric relation:

Tan(angle) = (opposite cathetus)/(adjacent cathetus)

Then we would get:

tan(34.6°) = (height/57.98ft)

Solving for the height we get:

height = 57.98ft*tan(34.6°) = 39.998 ft

So none of the options is actually correct.

User Fabrizio Accatino
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