A kite flies on a taut string 40 m long…
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
A kite flies on a taut string long. The string makes an angle of with the level ground. Assume the string is straight and held at ground level.
- How high is the kite above the ground?
- How far along the ground is the kite from the person who holds the string?
Need a reminder? The key ideaShow
Height from a ground distance: . Height from a slanting length: . If the eye is above the ground, add the eye height at the end. , , .
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. (a) The height. The height is opposite the angle and the string is the hypotenuse, so use : .
Step 2. (b) The ground distance. The distance is adjacent and the string is the hypotenuse, so use : .
Check. .
Answer: The kite is high and along the ground.
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