a kite is being flown 150 yards of string. the kite has an angle of elevation with the ground 65 degrees. how high above the ground is the kite.
I DON'T KNOW HOW TO SET UP THE PROBLEM
sin 65 = h/150
assuming that the string hypotenuse is straight
THAnk You DAMON
You are welcome.
To solve the problem, we can use trigonometry. Let's break down the given information and set up the problem step by step.
1. Identify the known values:
- Length of string = 150 yards
- Angle of elevation = 65 degrees
2. Determine which trigonometric function to use:
Since we are given the length of the string and the angle of elevation, we can use the tangent function. The tangent function relates the angle of elevation to the ratio of the opposite side (the height) to the adjacent side (the distance from the kite to the person flying it).
3. Set up the equation:
- tan(angle) = height / distance
4. Substitute the known values:
- tan(65°) = height / 150 yards
5. Solve for height:
To solve for height, we will cross-multiply and then divide:
- height = tan(65°) * 150 yards
6. Use a calculator:
Use a calculator to find the value of tan(65°). Multiply that value by 150 yards to get the height above the ground.
By following these steps, you can set up the problem and solve for the height of the kite above the ground.