Question

Find the angle of XYZ. Give your answer to one decimal place

Answer 1

Answer:

72.9 degrees

Step-by-step explanation:

First we need to calculate the hypothenuse with the teorem of Pythagoras. ZY = sqrt(13^2+4^2) = 13.6 cm. sqrt stands for square root.

The we calculate the cosine of our angle (we could use the sine but I'll use the cosine here, the method is a little different with the sine). For the cosine divide the adjacent side by the hypothenuse: 4/13.6 =0.294

then we use the cos^-1 function on the calculator , so cos^-1(0.294) =72.897 =72.9 degrees.

I hope this helped

Answer 2

Answer:

∠ XYZ ≈ 72.9°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tanY = $\frac{opposite}{adjacent}$ = $\frac{XZ}{XY}$ = $\frac{13}{4}$ , then

∠ XYZ = $tan^{-1}$ ($\frac{13}{4}$ ) ≈ 72.9° ( to 1 dec. place )