Question

stA kite is flying 99 n off the ground, and its string is pulled taut. The angle of elevation of the kte ls 59º. Find the length ofthe string, Round your answer to the nearest tenth.

Answer 1

Let's put more details in the given figure to better understand the problem:

From the given figure, it appears that the scenario forms a right triangle.

Given were:

Opposite Side = 99 ft

Angle = 59°

And the length of the string appears to be a Hypotenuse of the formed right triangle.

For us to be able to find the length of the string, we will be using the Sine Function:

`\text{ Sine }\Theta\text{ = }\frac{\text{ Opposite}}{\text{ Hypotenuse}}`

We get,

`\text{ Sine }\Theta\text{ = }\frac{\text{ Opposite}}{\text{ Hypotenuse}}`
`\text{ Sine }59^(\circ)\text{ = }\frac{\text{ 99}}{\text{ x}}`
`\text{ x = }\frac{\text{ 99}}{\text{ Sine }59^(\circ)}`
`\text{ x }=\text{ }155.479960188\text{ ft}`
`\text{ x }\approx\text{ }155.5\text{ ft}`

Therefore, the length of the string is 155.5 ft.