Question

about travels in the following path. How far north did it travel? Round your answer to the nearest 10th of a mile

Answer 1

Answer:

19.1 miles

Step-by-step explanation:

The situation given represents a right triangle.

Thus, we would use trigonometric function to find how far north the boat travelled.

Let's represent how far the boat travelled north with "x".

Thus:

Reference angle = 23°

Opposite = x

Adjacent = 45 miles

Apply TOA:

Tan 23° = Opp/Adj

Tan 23° = x/45

Multiply both sides by 45

45 × Tan 23° = x

x = 45 × Tan 23°

x = 19.1013667

x = 19.1 miles (nearest tenth of a mile)