Question

MisterBrainly (also known as Enstine) lets out 100 feet of string on a kite from a hand height of 3 feet. The angle between horizontal hand height and the kite is 25º. Find the height of the kite above the ground, to the nearest foot.

Answer 1

Answer: I love the picture example

Step-by-step explanation:

We will first find the heigh of the kite from his hand to a point in the air.

Then, we will add 3 feet to the result.

So, how to find the vertical line of the right triangle?

Well, we have the vertical line = x

We also got the hypothenuse, equal to 100 feet

And also theta, equal to 25 degrees.

We can calculate sine because the sine of 25 degrees = opposite side (the height line) over (divided by) the hypothenuse

sin(25) = x/100 feet

multiply 100 feet on both sides, to cancel to 100 feet on the right side.

100sin(25) = x

100(0.442) = x

x = 42.2  feet

Height = 42.2 + 3 feet (the yoda's hand =) =  45.2 feet (total)

Rounded to the nearest tenth.

I also did the verification, so it is the correct answer.

Easy as that =]]

Answer 2

Height of the kite from 3ft above the ground

$\\ \rm\Rrightarrow sin\Theta=\dfrac{Perpendicular}{Hypotenuse}$

$\\ \rm\Rrightarrow sin25=\dfrac{P}{100}$

$\\ \rm\Rrightarrow P=100sin25$

$\\ \rm\Rrightarrow P=42.26\approx 42ft$

Height from the ground

• 42+3
• 45ft(Rounded)