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height of the building is 50m. The angle from Nikko to the top of the building is 25 degrees. How far is Nikko from the Building? Draw a picture first

Sagot :

sqdancefan

Answer:

  107 meters

Step-by-step explanation:

You want Nikko's distance from a 50 m high building if the angle of elevation to the top is 25°.

Tangent

The tangent relation tells you the acute angle in a right triangle is related to the sides by ...

  Tan = Opposite/Adjacent

Application

In this problem, the relation means ...

  tan(25°) = building height / distance to building

Solving for the distance to the building, we get ...

  distance to building = (building height)/tan(25°) = (50 m)/tan(25°)

  distance to building ≈ 107.225 m

Nikko is about 107 meters from the building.

View image sqdancefan
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