Krista was vacationing in the jungle and wanted to ride a zip line. The platform was 173ft above the ground. The angle of elevation of the zip line was 40 degrees from the ground. Approx. How long was her ride down the zip line?
173*40/2
Although I'm not sure...
Yes the angle and the hieght create a triangle so it would be bh/2
Which in this case would be 173*40/2
what? bh/2 is the area of a triangle.
You need to get the distance d using
173/d = sin40°
To find the length of Krista's ride down the zip line, we can use trigonometry and the given angle of elevation.
Let's consider a right triangle with the ground, the zip line, and the vertical line from the platform to the ground. The angle of elevation of 40 degrees is between the ground and the zip line.
In this triangle, the length of the zip line (hypotenuse) is the side we want to find, and the vertical line from the platform to the ground (opposite side) is 173 ft. We can use the trigonometric function tangent (tan) to find the length of the zip line.
The formula is: tan(angle) = opposite / adjacent.
In this case, the length of the zip line is the opposite side, and the ground is the adjacent side.
Now, let's calculate the length of the zip line:
tan(40 degrees) = opposite / adjacent
tan(40 degrees) = x / 173 ft, where x represents the length of the zip line.
To solve for x, we can rearrange the equation:
x = tan(40 degrees) * 173 ft.
Using a scientific calculator, calculate the value of tan(40 degrees), and then multiply it by 173 ft to find the length of the zip line.
x ≈ (tan(40 degrees)) * 173 ft.
Once you perform the calculations, you should get the approximate length of Krista's ride down the zip line.