Posted by **Ashley** on Monday, November 22, 2010 at 6:25pm.

In traveling across flat land, you notice a mountain in front of you. Its angle of elevation to the peak is 3.5 degrees. After you drive 13 miles closer to the mountain, the angle of elevation is 9 degrees. Approximate the height of the mountain.

- Math -
**Henry**, Tuesday, November 23, 2010 at 7:44pm
Two rt triangles are formed. The common ver. side represents the ht. of

the mountain. The 3.5 deg angle of elevation lies bet. the hyp and hor side of the larger triangle. The 9 deg

angle is located bet. the hyp and hor side of the smaller triangle.

tan3.5 = h / (x + 13),

h = (x + 13)tan3.5,

h = (x + 13)0.0612,

Eq1: h = 0.0612x + 0.7951,

tan9 = h/x,

Cross multiply:

h = xtan9,

Eq2: h = 0.1584x.

Substitute 0.1584x for h in Eq1:

0.1584x = 0.0612x + 0.7951,

0.1584x - 0.0612x = 0.7951,

0.0962x = 0.7951,

x = 0.7951 / 0.0962 = 8.27.

h = 0.1584 * 8.27 = 1.31 mi = ht of mt.

- Math -
**Rumana**, Friday, April 1, 2011 at 3:53pm
Emily chooses two numbers.

She adds the two numbers together and divides the rusult by 2.

Her answer is 44

One Emily's numbers is 12

what is Emily's other numbers?

## Answer this Question

## Related Questions

- MATH - In traveling across flat land, you notice a mountain in front of you. Its...
- Math - In traveling across flat land, you notice a mountain in front of you. Its...
- Math - In traveling across flat land, you notice a mountain in front of you. Its...
- Trigonometry - Height of a mountain While traveling across flat land, you notice...
- Trigonometry - In travelling across flat land, you notice a mountain directly in...
- trigonometry - as you walk on a straight level path toward a mountain, the ...
- angles - A survey team is trying to estimate the height of a mountain above a ...
- Math - a surveyor is 3 miles from a mountain. The angle of elevation from the ...
- math trigonometry - From on point on the ground the angle of elevation to the ...
- Trig - Can you please help with this trig question: The angle of elevation to ...

More Related Questions