Question

A 32" flat screen television measures 32 inches across its diagonal. the diagonal makes 35° angle with the bottom of the television. Select all equations that can be used to solve for the height h, of the television screen.

A- Cos35°= h/32
B- Sin35°= h/32
C- Tan35°= h/32
D- Cos55°= h/32
E- Sin55°= h/32
F- Tan55°= h/32

Answer 1

The correct equations to solve for the height h of the television screen in this trigonometry problem are labeled B (Sin35° = h/32) and E (Sin55° = h/32), using the sine function associated with the given angles.

Step-by-step explanation:

To solve for the height h of the television screen, we will need to use trigonometric functions. Given that the diagonal creates a 35° angle with the bottom of the television, and we're given the diagonal length of 32 inches, we can set up a relationship using trigonometric functions that involve the height. Since we're looking for the opposite side of the right triangle and have the hypotenuse, we should choose the sine function.

The correct equation using the sine function and the given angle is:

• B - Sin35° = h/32
• E - Sin55° = h/32 (since the complementary angle to 35° is 55° and the sine of the complementary angle is equivalent to the cosine of the original angle)

Therefore, only the equations labeled B and E would be used to solve for the height h of the television screen using trigonometric functions.