Question

6. Rex, Paulo, and Ben are standing on the shore watching for dolphins. Paulo sees one surface
directly in front of him about a hundred feet away. Find the distances between Rex, Ben, Paulo
and the dolphin. The angles between Rex, Ben, and the dolphin are marked on the diagram.
Dolphin
с
30°
B
D
A
Rex
Paulo
Ben
Part II: Use the triangle ACD, find the distance between Ben and the Dolphin and Ben and Paulo.

Answer 1

The distance between Ben and Dolphin will be 115.47 feet and the distance between Ben and Paulo will be 57.74 feet.

How to calculate the distance?

Based on the information given, using trigonometric ratios, we'll have:

Sin A = CD/AC

Sin 60° = 100/AC

AC = 100/✓3/2

AC = 115.47

Tan A = CD/DA

DA = 100/Tan 60°

DA = 100/✓3

DA = 57.74

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