# A plane takes off at an angle of elevation of 15 degrees and travels in a straight line for 3,000 meters. What is the height of the plane above the ground at this instant?

Jul 12, 2016

#### Answer:

$776.46$m

#### Explanation:

Draw a diagram. The height above the ground is the opposite side of the triangle, the hypotenuse is the 3000m and the angle of elevation is 15 degrees. The sine ratio is the one one that ties the relationship.

$S \in 15 = \frac{x}{3000}$

$\sin 15 \times 3000 = x$

$x = 776.46 m$