Answer and Step-by-step explanation:
Trigonometric Function (These only work for right triangles):
SOH-CAH-TOA
S = Sine = sin
C = Cosine = cos
T = Tangent = tan
O = Opposite (side)
H = Hypotenuse (side)
A = Adjacent (side)
SOH = sin(angle) =
![(opposite)/(hypotenuse)](https://img.qammunity.org/2022/formulas/mathematics/high-school/h6fx1cewb259sgudymeyaaxx9x6xz4bx3m.png)
CAH = cos(angle) =
![(adjacent)/(hypotenuse)](https://img.qammunity.org/2022/formulas/mathematics/high-school/ler4i8h44p63uj8683grselxl9pdbwfuio.png)
TOA = tan(angle) =
![(opposite)/(adjacent)](https://img.qammunity.org/2022/formulas/mathematics/high-school/raearlj50azs6xjmdx9c5r3fevkr47wlx3.png)
1. sinQ (Q is the angle) =
![(14)/(50) = (7)/(25) = 0.28](https://img.qammunity.org/2022/formulas/mathematics/high-school/kelscluit945a4uyyk4dao5atybmivw2tm.png)
Use Pythagorean Theorem to find side PQ.
![14^(2) + PQ^(2)= 50^(2) \\PQ^(2) = 2304\\PQ = 48](https://img.qammunity.org/2022/formulas/mathematics/high-school/y3o04phtrejo6hlc2qfj1rg272fzo4o0i5.png)
2. cosQ =
![(48)/(50) = (24)/(25) = 0.96](https://img.qammunity.org/2022/formulas/mathematics/high-school/hbqryle0dbktlgn98titvy9736mz6lgqar.png)
3. tanQ =
![(14)/(48) = (7)/(24) = 0.29](https://img.qammunity.org/2022/formulas/mathematics/high-school/l4y84wot1snucg93yh5smu7hxv5pwrb41w.png)