Asked by Anonymous
A HOT AIR BALLOON IS 70 m ABOVE THE SEA. TWO BUOYS A AND B ARE DUE EAST OF THE BALLOON. THE ANGLE OF DEPRESSION FROM THE BALLOON TO BUOY A IS 60°. THE ANGLE OF DEPRESSION FROM THE BALLOON TO THE BUOY B IS 40°. CALCULATE DISTANCE AB.
Answers
Answered by
Henry
1.
We draw 2 rt triangles with a common vertical side:
1. Draw hor. line OB.
2. Locate point "A" to the left of "B" to form AB.
3. Draw a ver. line at O and label it 70 m.
4. Draw the hyp. of each triangle
with one going to A and B.
Tan60 = 70/OA, OA = 70/Tan60.
Tan40 = 70/OB, OB = 70/Tan40.
AB = OB - OA.
We draw 2 rt triangles with a common vertical side:
1. Draw hor. line OB.
2. Locate point "A" to the left of "B" to form AB.
3. Draw a ver. line at O and label it 70 m.
4. Draw the hyp. of each triangle
with one going to A and B.
Tan60 = 70/OA, OA = 70/Tan60.
Tan40 = 70/OB, OB = 70/Tan40.
AB = OB - OA.
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