The diagonal of a tv screen is 21 in. The television's diagonal forms angle "m", which measures 50 degrees. What is the height of the screen?
Take a look at the definitions of your trig functions.
hypotenuse = 21
base angle = 50 deg
height/hypotenuse = sin 50 deg
height/21 = .766
height = 16"
O don't Get it
To find the height of the screen, we can use trigonometry and the given information about the diagonal and the angle.
1. First, we need to identify which trigonometric function is appropriate to use in this situation. Since we are given the diagonal (hypotenuse) and the angle, we can use the sine function.
2. Recall that the sine of an angle in a right triangle is defined as the ratio of the length of the side opposite the angle to the hypotenuse. In this case, the height of the screen is opposite the angle "m" and the diagonal is the hypotenuse.
3. Using the equation for sine, we have:
sin(m) = opposite / hypotenuse
sin(50 degrees) = height / 21 inches
4. Now, we solve for the height:
height = sin(50 degrees) * 21 inches
Use a scientific calculator to find the sine of 50 degrees (usually denoted as "sin(50)"), and then multiply it by 21 inches to get the height. The result will be in inches.
Therefore, by plugging in the values and calculating, we can find the height of the screen.