Question

select the correct answer. mary walks a certain distance up a road that climbs a hill. the vertical component of her displacement is 17.63 meters, and the horizontal component of her displacement is 100 meters. what is the road’s approximate angle of inclination? a. 10 degrees b. 13 degrees c. 17 degrees d. 20 degrees

Explanation:

Step1: Identify opposite and adjacent sides

Vertical (opposite) = 17.63 m, horizontal (adjacent) = 100 m

Step2: Calculate tangent of angle

$\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}} = \frac{17.63}{100} = 0.1763$

Step3: Find angle using arctangent

$\theta = \arctan(0.1763) \approx 10^\circ$

Answer:

A. 10 degrees