A refrigerator has a width of 3 feet. The angle of elevation from the bottom corner to the opposite corner 65 degreeswhat is the height of the refrigerator.
64.93 You do pythagorean theorem. a2+b2=c2
How can a fridge be 64 feet high ????
tan 65 = height/3
height = 3tan65 = 6.434 feet
or 6 feet, 5 inches
To find the height of the refrigerator, we can use trigonometry. Given the width of the refrigerator as 3 feet and the angle of elevation as 65 degrees, we can use the tangent function.
Tangent is defined as the ratio of the opposite side to the adjacent side in a right triangle. In this case, the height of the refrigerator is the opposite side, and the width is the adjacent side to the angle of elevation.
Let's set up the trigonometric equation:
tangent(θ) = height / width
Now we can substitute the given values into the equation:
tangent(65°) = height / 3
To solve for the height, we need to isolate it. We can multiply both sides of the equation by 3:
3 * tangent(65°) = height
Using a calculator, we can find the tangent of 65 degrees to be approximately 2.1445. So, the equation becomes:
3 * 2.1445 = height
Now we can calculate the height:
height ≈ 6.4335 feet
Therefore, the height of the refrigerator is approximately 6.4335 feet.