Question

A plane takes off from a field and rises at an angle of 11.3 degrees with the horizontal. Find the height of the plane after it has traveled a distance of 1220ft. (Round to one decimal place)

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Jayne

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64 Answers

We can use trigonometry to solve this problem. The height of the plane after traveling 1220 ft can be found by using the tangent function.

Leth be the height of the plane above the field. The tangent of the angle of 11.3 degrees is given by:

\tan(11.3^\circ) = \frac{h}{1220}

Solving forh :

h = 1220 \cdot \tan(11.3^\circ)

h\approx243.4\text{ ft}

Therefore, the height of the plane after it has traveled a distance of 1220 ft is approximately 239.4 ft.

\boxed{243.4\text{ ft}}

Let

Solving for

Therefore, the height of the plane after it has traveled a distance of 1220 ft is approximately 239.4 ft.

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