+0

# check these for me?

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226
1 #2. What is the value of Z in the triangle? Round only your final answer to the nearest hundredth.

i got 7 #3. What is the value of X in thisbe triangle? Round only your final answer to the nearest hundredth.

i got 19.92

May 10, 2019

#1
+3

2.

Notice that  Z  is the hypotenuse, and the hypotenuse is always the longest side.

So  Z  can't be  7 inches, because that would make it shorter than the 10 inch side.

cos( angle )  =  adjacent / hypotenuse

cos( 37° )  =  10 / Z

Multiply both sides of the equation by  Z

Z cos( 37° )  =  10

Divide both sides of the equation by  cos( 37° )

Z  =  10 / cos( 37° )

Plug  10 / cos( 37° )  into a calculator.

Z  ≈  12.52   (inches)

3.

tan( angle )  =  opposite / adjacent

tan( X )  =  5 / 20

Take the arctan of both sides of the equation.

X  =  arctan( 5 / 20 )

Plug  arctan( 5 / 20 )  into a calculator.

X  ≈  14.04°

May 10, 2019
edited by hectictar  May 10, 2019

#1
+3

2.

Notice that  Z  is the hypotenuse, and the hypotenuse is always the longest side.

So  Z  can't be  7 inches, because that would make it shorter than the 10 inch side.

cos( angle )  =  adjacent / hypotenuse

cos( 37° )  =  10 / Z

Multiply both sides of the equation by  Z

Z cos( 37° )  =  10

Divide both sides of the equation by  cos( 37° )

Z  =  10 / cos( 37° )

Plug  10 / cos( 37° )  into a calculator.

Z  ≈  12.52   (inches)

3.

tan( angle )  =  opposite / adjacent

tan( X )  =  5 / 20

Take the arctan of both sides of the equation.

X  =  arctan( 5 / 20 )

Plug  arctan( 5 / 20 )  into a calculator.

X  ≈  14.04°

hectictar May 10, 2019
edited by hectictar  May 10, 2019