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Trig question?

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From a hot air balloon 0.8 km high, a command post is seen with an angle of depression of 12 degrees. how far is it from the point on the ground below the balloon to the command post?

1.3 km
3.8 km
0.8 km
0.2 km
asked Aug 5, 2014 in TRIGONOMETRY by anonymous

1 Answer

0 votes

From the given data draw a geometric diagram.

Where, AB = height of the ballon = 0.8 km,

Angle C = depression angle = 120 .

Let, BC = x.

To find x, use the trigonometric function.

Trigonometric function : tan x = opposite side / adjacent side.

tan 120 = AB/x

0.21255 = 0.8/x

⇒ x = 0.8 / 0.21255 = 3.7638 km.

Therefore, the distance from the point on the ground below the ballon to the command post is 3.7638 km.

Option 2 is correct 

answered Aug 5, 2014 by lilly Expert
edited Aug 5, 2014 by bradely

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