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19 votes
19 votes
Draw a diagram and solve

Draw a diagram and solve-example-1
User Anticom
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2.9k points

1 Answer

10 votes
10 votes

Answer:

2378 m

Explanation:

You want the ground distance from the takeoff point to an airplane that has flown 2500 m in the air at a takeoff angle of 18°.

Cosine

The cosine relation tells you ...

Cos = Adjacent/Hypotenuse

Adjacent = Hypotenuse · Cos

Application

Here, the hypotenuse of the right triangle model is 2500 m, the angle is 18°, and we want to find the side of the triangle adjacent to the angle:

AD = AP·cos(18°) = 2500·0.9510565 ≈ 2377.64 ≈ 2378 . . . . meters

The ground distance is about 2378 m.

Draw a diagram and solve-example-1
User Zawad
by
3.2k points