Question

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

Answer 1

AC ≈ 483

Explanation:

Using the cosine ratio in the right triangle

cos21.3° =
`(adjacent)/(hypotenuse)` =
`(AB)/(AC)` =
`(450)/(AC)` ( multiply both sides by AC )

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

AC =
`(450)/(cos21.3)` ≈ 483 ( to the nearest whole number )

Answer 2

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.