Question

find a, in degrees, if tan (a) = 5/7. round your answer to the nearest tenth.
22.1 degrees
81.4 degrees
43.9 degrees
35.5 degrees
question 23
1 pts
a ramp rises 1 ft for every 7 ft horizontal. what angle, to the nearest degree, does the ramp make with the ground?
34 degrees
65 degrees
82 degrees
8 degrees

Explanation:

Step1: Use inverse tangent function

If \(\tan(A)=\frac{5}{7}\), then \(A = \arctan(\frac{5}{7})\).

Step2: Calculate the value

Using a calculator, \(\arctan(\frac{5}{7})\approx35.5^{\circ}\)

Step1: Use inverse tangent function

For the ramp problem, \(\tan(\theta)=\frac{1}{7}\) (where \(\theta\) is the angle with the ground), then \(\theta=\arctan(\frac{1}{7})\)

Step2: Calculate the value

Using a calculator, \(\arctan(\frac{1}{7})\approx8^{\circ}\)

Answer:

35.5 degrees