Question

Identify a trigonometry function that represents the relationship between the kite string, it's height off the ground, and the angle of elevation of the sun. Find the height of the kits

Answer 1

Sine;
`h = l\cdot \sin \theta`

Explanation:

The figure is included below as attachment. A right-angled triangle is formed by considering the variables mentioned in the statement of the problem. The trigonometric function that uses all the mentioned variable is the sine, which is:

`\sin \theta = (h)/(l)`

Where:

`\theta` - Angle of elevation of the sun.

`h` - Height of the kite off the ground.

`l` - Length of the kite string.

The height of the kite can determined by clearing the corresponding variable in the previous formula:

`h = l\cdot \sin \theta`