#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
+9466 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°
+9466 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°
