Math
posted by Ashley .
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.

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. 
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?
Respond to this Question
Similar Questions

Math
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 … 
Math
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 … 
MATH
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 … 
trigonometry
as you walk on a straight level path toward a mountain, the measure of the angle of elevation to the peak from one point is 33 degrees. From a point 1000 feet closer, the angle of elevation is 35 feet. How high is the mountain? 
Trigonometry
Height of a mountain While traveling across flat land, you notice a mountain directly in front of you. The angle of elevation to the peak is 2.5°. After you drive 18 miles closer to the mountain, the angle of elevation is 10°. Approximate … 
angles
A survey team is trying to estimate the height of a mountain above a level plain. From one point on the plain, they observe that the angle of elevation to the top of the mountain is 25 degrees. From a point 1225 feet closer to the … 
Trig
Can you please help with this trig question: The angle of elevation to the top of a nearby mountain is 46 degrees. After walking 1 km toward the mountain, you determine the angle of elevation to be 68 degrees. How high is the mountain? 
Trigonometry
In travelling across flat land, you notice a mountain directly in front of you. Its angle of elevation (to the peak) is 4.5°. After you drive 13 miles closer to the mountain, the angle of elevation is 9.5°. 
Maths
Say I'm at an unknown distance from a mountain, called point P, and I estimate the angle of elevation to the top of the mountain is 13.5 degrees. Then I move to point N, which is 100 meters closer to the mountain, and I estimate the … 
Math
Traveling across a flat land you notice a mountain of f in the distance with an angle of elevations 3.5 degrees. You walk toward the mountain 13 more miles and now the angle of elevation is 9 degrees. How tall is the mountain?