Answer:
1. x = 19.9 2. x = 8.1
Step-by-step explanation:
1. Cos(x) = Adjacent/Hypotenuse We identify that the angle of 17 degrees is next to the adjacent side of 19 and the hypotenuse is the longest side of the triangle.
Cos(17) = 19/x We substitue in the values then rearrange to give us x.
xCos(17) = 19 We multiply both sides by x.
x = 19/Cos(17) We divide by Cos(17).
x = 19.86814337 We put it into the calculator.
x = 19.9 Rounding to the nearest tenth is the same as rounding to 1 decimal place.
2. Tan(x) = Opposite/Adjacent We identify that the angle of 51 degrees is opposite 10 and next to the adjacent side of x.
Tan(51) = 10/x We substitute in the values then rearrange to give us x.
xTan(51) = 10 We multiply both sides by x.
x = 10/Tan(51) We divide by Tan(51).
x = 8.097840332 We put it into the calculator.
x = 8.1 Rounding to the nearest tenth is the same as rounding to 1 decimal place.
Hope that helps you.
