Question

jeremy was in the park flying a kite. the kite was flying at the end of a string 48 meters long, making an angle of \\(75^\circ\\) with the ground. how high was the kite above the ground?

complete the trig ratio.

\\(\text{___ } 75^\circ = \frac{\text{___}}{\text{___}}\\)

write your answer as a decimal rounded to the nearest hundredth.

jeremys kite is approximately \\(\text{___}\\) meters above ground.

Explanation:

Identify the given values and target unknown

$$
LATEXBLOCK0
$$

Set up the trigonometric ratio

$$
LATEXBLOCK1
$$

Calculate the height

$$
LATEXBLOCK2
$$

Answer:

Question 1

$$ \sin(75^\circ) = \frac{XC}{48} $$

Question 2

Jeremy's kite is approximately 46.36 meters above ground.