The length of a string between a kite and a point on the ground is 90 metres. If the string makes an angle `theta` with the ground level such that `tantheta=(15)/8,` how high is the kite? Assume that there is no slack in the string.

Explanation

To find the height of the kite, we will use the information given in the problem along with trigonometric ratios. Here’s a step-by-step solution:

### Step 1: Understand the Problem
We have a kite attached to a string that makes an angle \( \theta \) with the ground. The length of the string (hypotenuse) is 90 meters, and we know that \( \tan \theta = \frac{15}{8} \).

### Step 2: Set Up the Right Triangle
We can visualize the situation as a right triangle where:
- \( OA \) is the length of the string (hypotenuse) = 90 m
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