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Dmitrij [34]
3 years ago
9

Find the values of XYNZ to the nearest integer

Mathematics
1 answer:
katen-ka-za [31]3 years ago
5 0

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

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