Math
posted by Amy~ on .
which mountains peaks can be seen from Oahu.
Island Distance(Mi) Mountain Height(ft)
Molokai  40  Kamakou  4,961
A) Radius of earth= 3960 mi.
Determine angle formed at the center of the earth.
B) Determine length of the hypotenuse.
Could someone go through the steps to solve this?
I have already done so but I seem to get close but different answers I need to check my work.

Assume that the observer is at sealevel.
The horizontal line is tangent to the earth at Oahu,
distance = 40 miles = 40*5280'=211200'
The radius of the earth is
r=3960 miles=20908800'
and is perpendicular to the horizontal line above.
Hypotenuse
=sqrt(211200²+20908800²)
=2745600√(58)'
Visible height
= hypotenuse  radius of earth
= 1066.64' < 4961
Therefore the said peak is visible. 
So the question is basically asking which mountains peaks can be seen from Oahu.
Island Distance(Mi) Mountain Height(ft)
Lanai  65  Lanaihale  3,370
Maui  110  Haleakala  10,023
Hawaii  190  Mauna Kea  13,796
Molokai  40  Kamakou  4,961
A) Radius of earth= 3960 mi.
Determine angle formed at the center of the earth.
B) Determine length of the hypotenuse.
Is Lanaihale visible from Oahu?
C) Repeat parts A & B for the other 3 islands
D) Which 3 Mountains are visible from Oahu?
Can someone draw me a diagram and explain to me what to do step by step? please and thank you!!