Answer: Option A

Step-by-step explanation:
We know the sides and z. So since it is a straight triangle we use the Pythagorean theorem to pull the length of the x side.

By definition, the tangent of an angle is:

In this case:

Then:


Y and x have a relationship that is directly proportional;
y = 7 when x = 2
when y = 21 and x = ?
y : x
7 : 2
if we multiply 7 wit 3, the answer is 21
3 x 7 : 2 x 3
21 : 6
So, when y = 21, x = 6
Yes, they are. Treat ratios like fractions, simplify them the same way. In 6/36, the GCF (Greatest Common Factor) of the numerator and the denominator is six. So, we divide both sides by six. This gives us 1/6, which is still the same fraction. (Making it proportional)
We are given with the slope of a ramp that is equal to 2/5, that is x = 5 and y = 2. In this case, we can find the angle of elevation by using the formula: tan Ф = y/x
using a calculator (inverse tangent or arctangent), Ф = 21.8 degrees. In this case, the answer is D. 22 degrees.