Question

ben and emma are out flying a kite. emma can see that the kite string she is holding is making a \\(70^\circ\\) angle with the ground. ben is standing \\(50\text{ feet}\\) away. to the nearest foot, how many feet of string has emma let out?

complete the trig ratio.

\\(\cos(70^\circ) = \frac{50}{x}\\)

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

emma has let out approximately feet of string.

Explanation:

Set up the trigonometric ratio

$$ \cos(70^\circ) = \frac{50}{x} $$

Solve for the hypotenuse x

$$ x = \frac{50}{\cos(70^\circ)} $$

Calculate the numerical value

$$
LATEXBLOCK0
$$

Answer:

Question 1

Complete the trig ratio:
\(\cos(70^\circ) = \frac{50}{x}\)

Question 2

Emma has let out approximately <blank>146.19</blank> feet of string.