A jump ramp for waterskiing makes an angle of 15 degree with the surface of the water. The ramp rises 1.58m above the surface. What is the length of the ramp to the nearest hundredth of a meter?
L = h/sinA = 1.58/sin15 = 6.10 m.
Well, it seems like this ramp is really making a splash! To determine the length of the ramp, we can use some trigonometry. Since we have the angle and the height, we can use the tangent function.
The tangent of the angle is equal to the opposite side (height) divided by the adjacent side (length of the ramp). So, let's "tan"gle with the math:
tan(15 degrees) = 1.58m / length of the ramp
To find the length of the ramp, we can rearrange the equation:
length of the ramp = 1.58m / tan(15 degrees)
Plugging this into a calculator, we get a length of approximately 5.81 meters. So, to the nearest hundredth of a meter, the length of the ramp is 5.81 meters.
Now, go out there and make some waves!
To find the length of the ramp, we can use trigonometry.
The ramp forms a right triangle with the surface of the water. The angle of 15 degrees is the angle between the ramp and the surface of the water. The height of the ramp (opposite side) is 1.58m.
Using the definition of the tangent function, we can set up the following equation:
tan(15 degrees) = opposite / adjacent
We want to find the length of the ramp, which is the adjacent side. Rearranging the equation, we have:
adjacent = opposite / tan(15 degrees)
Plugging in the values, we get:
adjacent = 1.58m / tan(15 degrees)
Using a calculator, we find:
adjacent ≈ 5.81m
Therefore, the length of the ramp is approximately 5.81 meters to the nearest hundredth.
To find the length of the ramp, we can use trigonometry. In this case, the angle of 15 degrees and the opposite side of 1.58m are given. Let's call the length of the ramp "x".
In a right triangle, the tangent function relates the opposite side to the adjacent side. Using the tangent function, we have:
tan(15°) = opposite / adjacent
tan(15°) = 1.58 / x
To find the value of x, we can rearrange the equation:
x = 1.58 / tan(15°)
Now we can calculate the value of x using the tangent function:
x = 1.58 / tan(15°)
x ≈ 5.52
Therefore, the length of the ramp is approximately 5.52 meters to the nearest hundredth of a meter.