Answer:
54°
Step-by-step 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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<em>Additional comment</em>
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.
