+0  
 
0
135
1
avatar

#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

Best Answer 

 #1
avatar+8842 
+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
avatar+8842 
+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
edited by hectictar  May 10, 2019

27 Online Users

avatar