Question

A plane is flying 3900 m above the ground level. The angle of elevation from the control tower to the plane is
11.4'. What is the horizontal distance from the plane to the control tower? Round your answer to the
nearest tenth. Show all work.

Answer 1

The horizontal distance to the control tower is approximately 18506.83m

Data;

• distance from the ground = 3900m
• angle of elevation = 11.4 degrees
• horizontal distance = ?

Trigonometric Ratio

To solve this problem, we need to use trigonometric ratio SOHCAHTOA.

In this case, we have the value of opposite and angle and we need to find the adjacent to the angle. The tangent of the angle would be perfect for this.

$tan\theta = \frac{opposite}{adjacent} \\tan11.4 = \frac{3900}{x}\\x = \frac{3900}{tan11.4}\\ x = 18506.83m$

The horizontal distance to the control tower is approximately 18506.83m

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