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Dolores is standing on a horizontal ground level with the base of the Statue of Liberty in New York City. The angle formed by the ground and the line segment from her position to the top of the statue is 26.3°. The height of the Statue of Liberty is approximately 93 meters. Find her distance from the Statue of Liberty to the nearest meter.

Respuesta :

irspow
tanα=y/x

x=y/tanα, we are told that y=93m and α=26.3°

x=93/tan26.3 m

x≈188m  (to nearest whole meter)
facundo3141592

The horizontal distance between Dolores and the statue is 188 meters.

How to find her distance from the statue?

We can see this as a right triangle, such that we know that one angle measures 26.3°.

The opposite cathetus to that angle, which is the height of the statue, measures 93 meters, and we want to get the adjacent cathetus, which is her distance to the statue.

Then we can use the relation:

tan(a) = (opposite cathetus)/(adjacent cathetus).

Then we have:

tan(26.3°) = 93m/d

Now we can solve this for d:

d = 93m/tan(26.3°) = 188m

The horizontal distance between Dolores and the statue is 188 meters.

If you want to learn more about right triangles:

https://brainly.com/question/2217700

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