Question

Find the values of XYNZ to the nearest integer

Answer 1

Answer:

Part 1) The measure of x is 23°

Part 2) The value of y is $y=5\ units$

Part 3) The value of z is $z=12\ units$

Step-by-step explanation:

step 1

Find the value of x

we know that

$x+67\°=90\°$ ------> by complementary angles

$x=90\°-67\°=23\°$

step 2

Find the value of y

In the right triangle of the figure

$cos(67\°)=\frac{y}{13}$ -----> adjacent side angle of 67 degrees divided by the hypotenuse

$y=(13)cos(67\°)=5\ units$

step 3

Find the value of z

In the right triangle of the figure

$sin(67\°)=\frac{z}{13}$ -----> opposite side angle of 67 degrees divided by the hypotenuse

$z=(13)sin(67\°)=12\ units$