Answer:
The answer to your question is the horizontal distance = 81.32 ft
Step-by-step explanation:
Data
depth = 28 ft
angle = 19°
horizontal = ?
To solve this problem, use trigonometric functions. The trigonometric function that relates the opposite side and the adjacent side is the tangent.
tan Ф = Opposite side/Adjacent side
-Solve for adjacent side
Adjacent side = Opposite side / tanФ
-Substitution
Adjacent side = 28 / tan 19
-Simplification
Adjacent side = 28 / 0.3443
-Result
Adjacent side = 81.32 ft
The horizontal distance between the boat and the shark is 82.35 feet.
Given that,
A shark is swimming 28 feet below sea level.
If the angle of depression from a boat on the water to the shark is 19 degrees,
We have to determine,
What is the horizontal distance between the boat and the shark?
According to the question,
A shark is swimming 28 feet below sea level.
If the angle of depression from a boat on the water to the shark is 19 degrees,
The angle of depression is the angle between the horizontal line from the observation point which is equal to,
[tex]\rm Tan\theta = \dfrac{Perpendicular}{Horizontal \ line}[/tex]
Substitute all the values in the formula;
[tex]\rm \rm Tan\theta = \dfrac{Perpendicular}{Horizontal \ line}\\\\Tan19 = \dfrac{28}{Horizontal \ line}\\\\Horizontal \ line = \dfrac{28}{0.344}\\\\Horizontal \ line = 82.35 \ feet[/tex]
Hence, The required horizontal distance between the boat and the shark is 82.35 feet.
For more details refer to the link given below.
https://brainly.com/question/640166
