Question

Please help. i have no clue how to do this please give any tips :)

Answer 1

Answer: 36.25°

Explanation:

Use SOHCAHTOA (sin, cosine and tangent)

SOHCAHTOA:

SOH: Sin(θ) = Opposite / Hypotenuse

CAH: Cos(θ) = Adjacent / Hypotenuse

TOA: Tan(θ) = Opposite / Adjacent

When you have an angle that you want to solve, look at what information you're given. In this problem, we're give nthe sides that are opposite to and adjacent to the angle we want to solve. So, we use TAN.

And just as a note, θ this symbol is called theta, and it represents an angle.

TAN(θ) = Opposite / Adjacent = 11/15

Then, use the inverse of tan (you can find the button on a calculator). You can use the inverse of sine, cosine or tangent whenever you want to switch them from one side of the equation to the other.

TAN(θ) =
`(11)/(15)`

θ =
`tan^-1((11)/(15) )`

Then, using a calculator, solve. The answer is about 36.25°