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Find the values of XYNZ to the nearest integer

Find the values of XYNZ to the nearest integer-example-1
User Vaaljan
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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

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\°)=(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\°)=(z)/(13) -----> opposite side angle of 67 degrees divided by the hypotenuse


z=(13)sin(67\°)=12\ units

User D V Ramana
by
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