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3 years ago

Q1 [5]

Mathematics

1 answer:

ValentinkaMS [17]3 years ago

5 0

Answer:

The required drawing showing the cliff, river, and tower as well as the details in the question is attached, please find alongside the answer

The width of the river is approximately 51.55 meters

Step-by-step explanation:

The height of the observation tower = 11 meters

The angle of elevation of the cliff top and the opposite side of the river = 20°

The angle of elevation of the tower top and the opposite side of the river = 30°

Therefore, by sine rule, we have;

h/sin(20) = w/sin(60)

11/sin(10) = length, l/sin(60)

l = sin(60) ×11/sin(10) ≈ 54.86 meters

w = l × cos (20) = 54.86 meters × cos (20) ≈ 51.55 meters

The width, w, of the river is approximately 51.55 meters.

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