Question

Can someone help me with these and please show work and explain because I don’t really get it :(

Answer 1

The acronym: SOH CAH TOA
Stands for;
Sin(x) = Opposite / Hypotenuse
Cos(x) = Adjacent / Hypotenuse
Tan(x) = Opposite / Adjacent

What you have written on the triangle. The angle is what goes inside the trig functions (Sine, Cosine, Tangent). The side opposite of the 36° angle is MP. The Hypotenuse of the triangle (always the longest side) is side PN. The Adjacent side to the 36° angle is given to be 28.

Use trig functions containing the given Adjacent side to solve for the missing sides Opposite, P and Hypotenuse, H .

Opposite side (calling it "P")
Tan(36°) = P / 28
multiply by 28 on both sides
28 × Tan(36°) = P
20.34 = P

Hypotenuse of the triangle (H)
Cos(36°) = 28 / H
Cross multiply
H = 28 / Cos(36°)
H = 34.61