Question

Charles designed a system to pull sleds uphill, but he needs to know the angle of the slope. He knows that the hill is 13 m high and that the distance from the base of the hill to the top is 20 m. calculate the angle of the slope. Hint: You may assume that the hill forms a right triangle

Answer 1

Answer:

Explanation:

It is given that,

Height of the hill, h = 13 m

The distance from the base of the hill to the top is 20 m, d = 20 m

We need to find the angle of the slope. It is already mentioned that the the hill forms a right triangle. For a right angled triangle the angle is given by :

$sin\theta=\dfrac{perpendicular}{hypotenuse}$

$sin\theta=\dfrac{13}{20}$

$\theta=sin^{-1}(\dfrac{13}{20})$

$\theta=40.54^{\circ}$

So, the angle of the slope is 40.54 degrees. Hence, this is the required solution.