Question

Sheila plans to row across the lake from point A to point B as shown below.

To determine how far she will have to row, she has chosen a point Cand

calculated the labeled data. How many miles will she have to row? Round

your answer to two decimal places.

12.3 miles

15.6 miles

66.7°

Answer 1

13.56

Explanation:

hope that helps

Answer 2

Answer: 15.58 miles

Explanation:

Given two sides and an included angle, segment AB can be calculated using the cosine rule :

Given a = 15.6 miles, b = 12.3 miles and C=α=66.7°

To find c:

c= √(a^2+b^2-2abcosα

c = √ 15.6^2 + 12.3^2 -(2 × 15.6 × 12.3)cos66.7°

c = √243.36 + 151.29 - 151.79454

c = √242.85545

c = 15.583820

c = 15.58 miles