We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
98
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+8744 
+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+8744 
+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

29 Online Users

avatar
avatar
avatar