trigo

posted by .

A space shuttle pilot flying toward the Suez Canal finds that the angle of depression on one end of the canal is 38.25deg and the angle of depression to the other end is 52.75deg. If the canal is 100.6 mi long, find the altitude of the space shuttle.

• trigo -

Tan52.75 = h/d. d = hor. dist. from
shuttle to canal.
h = d*Tan52.75 = Altitude of shuttle.
Tan38.25 = h/(d+100.6)
h = (d + 100.6)* Tan38.25
Substitute d * Tan52.75 for h:
d*Tan52.75 = (d + 100.6)*Tan38.25
Solve for d:
1.3151d = 0.7883d + 79.31
1.3151d - 0.7883d = 79.31
0.5268d = 79.31
d = 79.31/0.5268 = 150.6mi = Hor.
dist. from shuttle to canal.
h = 150.6*Tan52.75 = 198mi = Alti-
tude of shuttle.

Similar Questions

1. Physics !

Sound enters the ear, travels through the auditory canal, and reaches the eardrum. The auditory canal is approximately a tube open at only one end. The other end is closed by the eardrum. A typical length for the auditory canal in …
2. Math

An engineerâ€™s plan shows a canal with a trapezoidal cross section that is 8 ft deep and 14 ft across at the bottom with walls sloping outward at an angle of 45°. The canal is 620 ft long. A contractor bidding on the job estimates …
3. Trigonometry

A space shuttle pilot flying over the suez canal finds that the angle of depression to one end of the canal is 38.25 degrees and the angle of depression to the other end is 52.75 degrees. If the canal is 100.6 miles long, find the …
4. Geography

How has the Suez Canal been a catalyst for nationalism in Egypt?

The Suez Canal links the Mediterranean and Red Seas.It is 103 miles long and was opened in 1869.For how many years has the Suez Canal been open?
6. Physics HELP!!

Sound enters the ear travels through the auditory canal and reaches the ear drum, The auditory canal is approximately a tube open at only one end. The other end is closed by the eardrum. A typical length for the auditory canal in an …
7. trigonometry

a space shuttle pilot flying toward the suez canal finds that the angle of depression on one end of the canal is 38.5 degree and the angle of depression to the other end is 52.75 degree. if the canal is 100.6 mi long, find the altitude …
8. physics

A barge is hauled along a straight-line section of canal by two horses harnessed to tow ropes and walking along the tow paths on either side of the canal. Each horse pulls with a force of 460 N at an angle of 17° with the centerline …
9. physics

A barge is hauled along a straight-line section of canal by two horses harnessed to tow ropes and walking along the tow paths on either side of the canal. Each horse pulls with a force of 450 N at an angle of 15° with the centerline …
10. Angle of depression need help also

A fighter plane is flying horizontally at a constant speed of 600km/hr and the pilot observes an oil drolling platform in the sea at an angle of depression 60degree,after flying in 30sec.in the same direction the pilot notices that …

More Similar Questions

Post a New Question