#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

Guest 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

#1**+3 **

Best Answer

**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