posted by .

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 Lanai-hale visible from Oahu?
C) Repeat parts A & B for the other 3 islands
D) Which 3 Mountains are visible from Oahu?
Can someone please draw a diagram and explain to me where the angle formed at the center of the earth and hypotenuse please? I'm really despearate to understand this problem! It's due on Monday! please help! xoxoxo <3

If you draw a line from a point above the surface, to the horizon, the angle where the radius meets the point on the horizon is a right angle, because the line is tangent to the surface of the earth.

So, if you have a point x km above the surface, and the radius of the earth is r km, and the distance from the point to the horizon is d km,

r^2 + d^2 = (r+x)^2
If you need to work with the angle θ at the center of the earth,

sinθ = d/(r+x)
tanθ = d/r

if the first three terms in the expansion of (1+ax)^n in ascending powers
of x are 1+12x+64x^2 find n and a

## Similar Questions

1. ### Science

the black hills are an example of which type of mountain building?

What can the public do to help get more land zoned for agriculture?
3. ### physics

Q. A person wants to shoot a rocket off of a mountain 3.26 km high so that the rocket, when shot at 31.3¡Æ above the horizontal from the very top of the mountain, lands at the foot of the mountain 9.37 km (horizontal distance) away. …
4. ### Geometry

Please imagine a triangle here. >.< the 'o' is a person and the two peaks are the mountains. /\___/\ _\___/ ___o Explain why the distance between these two peaks are greater than the difference of the distances from the person …
5. ### Math

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. …
6. ### Science

Peaks are not as sharp on the Appalachian Mountains as they are on the Rocky Mountains. What might have cause this difference in the peaks over time?
7. ### Math

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 …
8. ### college stats

iN manoa Valley on the island of Oahu Hawaii the annual rainfall averages 43.6 inches with a standard diviation 7.5 inches. for a given year, find the probability that the annual rainfall will be..(solve for a,b,and c) show work a)more …
9. ### Basic English

9. Which of the following sentences contains a comma splice?
10. ### english

13. Which of the following sentences contains a comma splice?

More Similar Questions