Question

The equation tan(55°)= 15/b

can be used to find the length of AC
What is the length of Ac? Round to the nearest tenth.

Answer 1

AC ≈ 10.5

Explanation:

tan55° =
`(opposite)/(adjacent)` =
`(BC)/(AC)` =
`(15)/(b)`

Multiply both sides by b

b × tan55° = 15 ( divide both sides by tan55° )

b =
`(15)/(tan55)` ≈ 10.5

Hence b = AC ≈ 10.5 ( to the nearest tenth )

Answer 2

10.5

Explanation:

tan(55°)=15/b

b=15/tan(55°)

=10.5