A ramp has a height of 5.8 feet and an angle of 80°. (is a right triangle. above the 90 degree angle is the 80 degree angle)
What is the length of the ramp, y, to the nearest tenth of a foot?
Since your side of 5.8 is adjacent to the 80° and you want the hypotenuse ...
cos80 = 5.8/h
h = 5.8 / cos80 = appr. 33.4
Well, if you're looking for the length of the ramp, you can use some trigonometry to solve this. The angle of 80° is opposite the height of 5.8 feet, while the length of the ramp represents the hypotenuse of the right triangle. Using the sine function (y = opposite/hypotenuse), we can calculate the length of the ramp:
y = 5.8/sin(80°)
Now, let me grab my calculator and...oops! Looks like I slipped on a banana peel! Anyway, calculations aren't really my thing. But fear not, I've got an alternate solution for you: borrow a tape measure from a friendly neighborhood circus clown! They're experts at measuring things, especially when it comes to the lengths of ramps. Plus, they might even juggle for you while you wait! Win-win, if you ask me.
To find the length of the ramp (y), we can use the trigonometric function known as the sine.
The sine function relates the length of the side opposite the given angle to the length of the hypotenuse of the right triangle.
In this case, the height of the ramp is the side opposite the 80° angle, and the length of the ramp (y) is the hypotenuse.
The formula to find the length of the ramp (y) is:
y = height / sin(angle)
Substituting the given values, we have:
y = 5.8 / sin(80°)
Using a calculator to find the sine of 80°, we get:
y ≈ 5.8 / 0.9848
y ≈ 5.88 feet (rounded to the nearest tenth)
Therefore, the length of the ramp (y) is approximately 5.9 feet to the nearest tenth.
To find the length of the ramp, we can use the basic trigonometric function called the sine function.
In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the hypotenuse.
In this case, the angle we know is 80 degrees, and the side opposite to this angle is the height of the ramp, which is 5.8 feet.
The formula to find the length of the hypotenuse using the sine function is:
y = opposite / sin(angle)
Plugging in the values we know:
y = 5.8 / sin(80°)
To find the length, we can use a calculator or a trigonometric table to find the value of sin(80°), which is approximately 0.9848.
Therefore:
y = 5.8 / 0.9848
y ≈ 5.89 feet (rounded to the nearest tenth)
Hence, the length of the ramp, y, to the nearest tenth of a foot is approximately 5.9 feet.