Triangle ABC is a right triangle. Find the measure of side b. Round to the nearest hundredth. A) 6.13 cm B) 6.71 cm C) 9.53 cm D) 10.54 cm

Question

asked Mar 21, 2020 165k views

2 Answers

Jon Goodwin · Answer 1 · 2020-03-27T04:21:47+0000

Answer:

b=9.53cm to the nearest hundredth.

Explanation:

The given triangle has a right angle.

So we can use SOH CAH TOA to find the value of b.

Since b is adjacent to the given angle, and we were also given the side opposite to the given angle to be 8cm, we can use the tangent ratio.

$\tan 40\degree =(Opposite)/(Adjacent)$

$\tan 40\degree =(8)/(b)$

$b=(8)/(\tan 40\degree)$

b=9.53cm to the nearest hundredth.