Question

Find the missing side. Round to the nearest tenth.

A. 13.3
B. 11.3
C. 16.8
D. 27.1

Answer 1

13.3

Explanation:

This is trigonometry

So for this one, we use a basic ratio. We need to use 19 and 55 degrees for the answer. We are given that the leg adjacent to the 55-degree angle is x and the opposite leg to the 55-degree angle is 19.

So we use tangent(opposite leg/adjacent leg) for this (TOA of SOH CAH TOA)

tan(55 degrees)=19/x

SO then solve for x and then evaluate using a scientific calculator and you should get 13.30394322

13.3

Answer 2

A. 13.3

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Trigonometry

• tan∅ = opposite over adjacent

Explanation:

Step 1: Set up equation

tan55° = 19/x

Step 2: Solve for x

1. Multiply x on both sides: xtan55° = 19
2. Divide tan55° on both sides: x = 19/tan55°
3. Evaluate: x = 13.3039
4. Round: x ≈ 13.3

And we have our final answer!