Question

build your skills

1. calculate the angle of elevation and the slope of the hypotenuse.

a) b)

Explanation:

Step1: Calculate the angle of elevation

For part a), using the tangent function $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here, $\tan\theta=\frac{11}{25}$. Then $\theta=\arctan(\frac{11}{25})$.
For part b), $\tan\theta=\frac{29}{14}$. Then $\theta=\arctan(\frac{29}{14})$.

Step2: Calculate the slope of the hypotenuse

The slope of the hypotenuse in a right - triangle is equal to the tangent of the angle of elevation.
For part a), slope $m = \frac{11}{25}$.
For part b), slope $m=\frac{29}{14}$.

Answer:

a) Angle of elevation: $\theta=\arctan(\frac{11}{25})\approx23.6^{\circ}$, slope $=\frac{11}{25}$
b) Angle of elevation: $\theta=\arctan(\frac{29}{14})\approx64.2^{\circ}$, slope $=\frac{29}{14}$