Answer:
Horizontal distance between lifeguard and the person is 22 feet.
Step-by-step explanation:
Given: A lifeguard sees a person in distress.The eye level of the lifeguard is 15 feet above the ground. Angle of depression is 34°.
To find: Horizontal distance between lifeguard and the person.
Solution : If we draw a triangle then tan∅ = [tex]\frac{height}{base}[/tex]
Here base is the horizontal distance.
Now we put the values in the formula.
tan 34° = [tex]\frac{15}{base}[/tex]
Or Base = [tex]\frac{15}{tan34}[/tex]
= [tex]\frac{15}{0.675} = 22.22 feet[/tex]
So the answer is 22 feet.
