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∅ = 
Here base is the horizontal distance.
Now we put the values in the formula.
tan 34° = 
Or Base = 
= 
So the answer is 22 feet.
Answer:
f(x)=8*(3.5)^x
Step-by-step explanation:
2=98
3= 98r
4= 98r^2
5= 98r^3
6= 98r^4
98r^4/98, 98 crosses out and its just r^4. r^4= 14706.125/98
r=3.5
So you plug that in and you get f(x)=8*(3.5)^x
I hope this helped. XD
Answer:
x = 18.46
Step-by-step explanation:
Find the last angle of the triangle.
180-90-72 = 18
The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.
cos(b) = adj/hyp
CosB=a/c rewrite to get
6/CosB (72) = 19.41
Find the last side of the triangle using the Pythagorean theorem.
b=square root c^2 - a^2
b=square root 376.99 - 36
b= 18.46
Answer:
40/8 or 5
Step-by-step explanation: