To measure the height of an inaccessible cliff on the opposite side of a river, a surveyor makes the measurements shown in the figure ( one angle is 33.1 & the other i 69.4) . If distance d = 202 meters and Ð b = 50.0°, find the height of the cliff.

the diagram is a triangle then a flipped image of a triangle connected together.. if that makes sense - the one triangle is a right angle and the second mirror image contains the 2 angles 69.4 and 50.

1 answer

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Using the Law of Sines, we can calculate the height of the cliff:

h = (202 m) * (sin(33.1°)) / (sin(50.0°))

h = (202 m) * (0.547) / (0.766)

h = 144.3 m