Question

So, the sides you are going to be multiplying are opposite and adjacent. The trigonometric function is tangent. So it'll be Tan0=41/30 and then you ​(Simplify your answer. Type an integer. Round to the nearest​ degree.)

Answer 1

54°

Explanation:

Multiplication is not involved.

The trig relation that is concerned with the opposite and adjacent sides of an angle in a right triangle is the tangent relation:

Tan = Opposite/Adjacent

tan(θ) = 41/30

The value of the angle is found using the inverse tangent function:

θ = arctan(41/30) ≈ 53.807°

The angle of elevation is about 54°.

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Additional comment

The mnemonic SOH CAH TOA is often used as a reminder of the relationship between right triangle sides and trig functions. The other two relations are ...

Sin = Opposite/Hypotenuse

Cos = Adjacent/Hypotenuse

For finding angles, the inverse trig relations are used. These can be called "arcsine," "arccosine," and "arctangent." They are often shown in functional form as (respectively) sin⁻¹, cos⁻¹, and tan⁻¹. On a calculator, they are often "2nd" or "Shift" or "Alt" functions of the sin, cos, and tan keys.