Question

Solving Problems Using Trigonometric Ratios Solve the trigonometry problems below

If a ramp is 3m high and 10m long. what is the measure of angle formed by the ramp and ground​

Answer 1

16.7 degrees

Explanation:

We can use the tangent ratio of a right triangle to solve this problem.

The tangent of an angle is the ratio of the opposite side to the adjacent side. In this case, the opposite side is the height of the ramp (3m) and the adjacent side is the length of the ramp (10m).

So we have:

tan(theta) = opposite / adjacent

tan(theta) = 3 / 10

To find the angle, we need to take the inverse tangent (or arctangent) of both sides:

theta = arctan(3 / 10)

Using a calculator, we get:

theta ≈ 16.7 degrees

Therefore, the angle formed by the ramp and ground is approximately 16.7 degrees.