Question

Jaden is flying a kite and let’s off 275 feet of string. If the kite is 150 feet above ground and assuming the string is straight, what angle does the string make with the ground, to the nearest degree?

Answer 1

Answer:

≈ 33°

Step-by-step explanation:

So, first, you can draw a visual. Refer to the image attached below:

Using this info, you can use trigonometric ratios. Recall that:

tangent = opposite side/adjacent side

sine = opposite side/ hypotenuse

cosine = adjacent side/hypotenuse

You can clearly see that you have an opposite side and a given hypotenuse. This means we'll be using sine.

So:

$sinX = \frac{150}{275}$

However, we're not trying to find sinX, we're trying to find X.

So we would have to use inverse sine, which would then be:

$X = sin-1 (\frac{150}{275} )$

Put this into your calculator, and:

X ≈ 33.05573115...