SOLUTION: Suppose the distance a person can see to the horizon is approximated by the function D(h)=1.3*square root of h, where D is the number of miles a person can see to the horizon from

Algebra ->  Square-cubic-other-roots -> SOLUTION: Suppose the distance a person can see to the horizon is approximated by the function D(h)=1.3*square root of h, where D is the number of miles a person can see to the horizon from       Log On


   

Question 1153937: Suppose the distance a person can see to the horizon is approximated by the function D(h)=1.3*square root of h, where D is the number of miles a person can see to the horizon from a height of h feet. Jay is on the deck of a boat and can see 5.2 miles to the horizon. What is his height above the water?
Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52884) About Me  (Show Source):
You can put this solution on YOUR website!
.

5.2 = 1.3%2Asqrt%28h%29


Square both sides and solve for h.


Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

D%28h%29=1.3%2Asqrt%28+h%29, where D is the number of miles a person can see to the horizon from a height of h feet.
if Jay is on the deck of a boat and can see 5.2 miles to the horizon:
D%28h%29=5.2
5.2=1.3%2Asqrt%28+h%29
5.2%2F1.3=sqrt%28+h%29
4=sqrt%28+h%29......square both sides
4%5E2=%28sqrt%28+h%29%29%5E2
h=16
his height above the water is 16 feet