Question

1. calculate the slope and angle of elevation

28 cm
14 cm

Explanation:

Step1: Calculate the slope

The slope $m$ of a line in a right - triangle context (rise over run) is given by the ratio of the vertical side to the horizontal side. Here, the vertical side (rise) is 28 cm and the horizontal side (run) is 14 cm. So, $m=\frac{28}{14}=2$.

Step2: Calculate the angle of elevation

We know that $\tan\theta$ (where $\theta$ is the angle of elevation) is equal to the slope. So, $\tan\theta = 2$. Then, $\theta=\arctan(2)$. Using a calculator, $\theta\approx 63.43^{\circ}$.

Answer:

The slope is 2 and the angle of elevation is approximately $63.43^{\circ}$