Kendrick is trying to determine if a painting he wants to buy will fit in the space on his wall. If the rectangular frame's diagonal is 76.84 inches and forms a 51.34° angle with the bottom of the frame, what is its height? Round your answer to the nearest inch.

Respuesta :

Answer:

The height of the painting is 60 in

Step-by-step explanation:

we know that

The function sine of angle of 51.34 degrees is equal to divide the opposite side to the angle of 51.34 degrees (height) by the hypotenuse (diagonal)

so

let

h ----> the height of the painting

[tex]sin(51.34\°)=h/76.84[/tex]

[tex]h=(76.84)sin(51.34\°)=60\ in[/tex]

Answer:

60

Step-by-step explanation:

To do this problem you are looking for the tan of 51.34. tan51.34= x/76.84. Do this in your calculator and you will get 60.