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An airplane makes a 15° angle of elevation from the runway when it takes off. The airplane shown is 2,000 feet along the ground from its take-off pointAt what height, h, is the airplane? Round the answer to the nearest foot.

Sagot :

Hello! First, let's draw the situation to understand it better:

With this draw, we can see that this is a right triangle, which can be solved using some trigonometry. To solve the height, we must use the tangent:

[tex]\begin{gathered} \tan (12)=\frac{\text{opposite}}{\text{adjacent}} \\ \\ \frac{0.213}{1}=\frac{height}{2000} \\ \\ \text{height = 2000}\cdot0.213 \\ \text{height }\cong\text{ 426 feet} \end{gathered}[/tex]

Observation: I used the value of 0.123 for the tangent of 12º. You can check it in the table below:

View image KariganJ778048
View image KariganJ778048
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