SOLUTION: The height h, of a dock above sea level is given by h=6+4cos(15p), 0<p<6. Find: a) the value of h when p=4 b) thw value of p when h=9 THANK YOU

Algebra.Com
Question 1020016: The height h, of a dock above sea level is given by h=6+4cos(15p), 0 a) the value of h when p=4
b) thw value of p when h=9
THANK YOU

Answer by Cromlix(4381)   (Show Source): You can put this solution on YOUR website!
Hi there,
h = 6 + 4cos(15p)
The value of when p = 4
h = 6 + 4cos(15 x 4)
h = 6 + 4cos(60)
Cos60 = 0.5
h = 6 + 4 x 0.5
h = 8 units
The value of p when h = 9
6 + 4cos(15p) = 9
4cos(15p) = 9/6
cos(15p) = 9/(6 x 4)
cos(15p) = 9/24
cos(15p) = 0.375
(Using cos^-1 = 0.375)
15p = 67.98
p = 67.98/15
p = 4.53 (2 decimal places)
Hope this helps :-)

RELATED QUESTIONS

At constant temperature, the atmospheric pressure p (in Pa) at an altitude h (in m) is... (answered by htmentor)
Section 5.3 #96. Atmospheric Pressure The atmospheric pressure p on a balloon or plane... (answered by stanbon)
A stone was thrown from the top of a cliff 60 meters above sea level. The height of the... (answered by Alan3354)
The altitude of an aircraft, h, in miles, is given by h= - (100/9)log p/b where P =... (answered by jsmallt9)
The altitude of an aircraft,h, in miles, is given by h=-(100/9)log p/b where p= the... (answered by stanbon)
At constant temperature, the atmospheric pressure p (in Pa) at an altitude h (in m) is... (answered by KMST)
The air pressure P at sea level is about 14.7 pounds per square inch. As the altitude... (answered by stanbon)
The altitude of an aircraft, h, in miles, is given by h=-(100/9)logp/b, where P = the... (answered by josmiceli)
NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a... (answered by ikleyn)