Question

Find the length of AC
Give your answer to 1 decimal place

Answer 1

AC ≈ 17.3 cm

Explanation:

Using the tangent ratio in the right triangle

tan68° =
`(opposite)/(adjacent)` =
`(AC)/(AB)` =
`(AC)/(7)` ( multiply both sides by 7 )

7 × tan68° = AC , then

AC ≈ 17.3 cm ( to 1 dec. place )

Answer 2

We will use tangent here as we are finding the opposite with the adjacent given.

So we can simply just put this into a calculator:

tan(68°) × 7 cm = AC

tan(68°) × 7 cm = 17.3 cm