Question

Given a right triangle with a hypotenuse of 15 feet and a height of 6 feet, find the measurement of angle

Answer 1

66.42° between height and hypotenuse

23.58° between base and hypotenuse

Explanation:

Using the concept of cosine and sine, we know that cosine of an angle is equal to the adjacent divided by hypotenuse.

Similarly, sine of an angle is given by opposite divided by hypotenuse

Tangent is given by opposite divided by adjacent

In rhis case, we use cosine

`\theta=cos^(-1)(\frac {6}{15})=66.4218215217982\\\theta\approx 66.42^(\circ)`

Therefore, the angle between the hypotenuse and height is 66.42°

To find the angle between base and hypotenuse, since it is a right angle triangle then the other angle will be 90-66.42=23.58°