Question

Please do both! Will mark brainliest

Answer 1

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.