Question

A surveyor, Toby, measures the distance between two landmarks and the point where he stands. He also measured the angles between the landmarks in degrees.
What is the distance, x, between the two landmarks? Round the answer to the nearest tenth.

A. 32.5 m
B. 42.1 m
C. 85.1 m
D. 98.5 m

Answer 1

Answer:

The correct answer is 98.5 m, or D.

I just took the test and got it correct.

Answer 2

X² = Side1² + Side2² - 2[(Side1)(Side2)] cos(Toby's Angle)x² = 55² + 65² - 2[(55)(65)] cos(110°)x² = 3025 + 4225 -7150[cos(110°)]x² = 7250 - 2445.44x = √4804.56x = 69.31m
∴The distance, x, between two landmarks is 69.31m