Question

I need help finding the lentlgth form a to c.​

Answer 1

Hi there!

$\large\boxed{AC \approx 483 ft}}$

AC is the hypotenuse, so we can use a trig formula to solve.

We are given the adjacent side, AB, so we must use cosine. Recall that:

cosθ = A/H

Thus:

cos(21.3) = 450 / H

Rearrange:

H = 450 / cos(21.3)

Use a calculator to evaluate:

H = 482.99 ≈ 483 ft.

Answer 2

Answer:

AC ≈ 483

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos21.3° = $\frac{adjacent}{hypotenuse}$ = $\frac{AB}{AC}$ = $\frac{450}{AC}$ ( multiply both sides by AC )

AC × cos21.3° = 450 ( divide both sides by cos21.3° )

AC = $\frac{450}{cos21.3}$ ≈ 483 ( to the nearest whole number )