Question

To find the distance across a river, a surveyor chose points A and B, which are 246 feet apart on one side of the river. She then chooses a reference point Con the opposite side of the river and finds that BAC is about 81° and ZABC is about 480. A 246 feet B 870 480 NOTE: The picture is NOT drawn to scale. Round all answers to 3 decimal places. The distance from point A to point Cis about feet. The distance across the river is about feet.
plz explain steps.

Answer 1

Answer ::

The distance from point A to point C is about 235.237 feet

The Distance across the river is about 232.341 feet

( from the diagram, the distance across the river is calculated by drawing a perpendicular line to AB joining C )

246 Now, from the diagram, Isi 48 As we know, Å = 810 B = 48° from triangle Properties, A+ 8+ c = 180° 81 + 48*+c* = 180 c'= 180-(81+48°) Ć -519 Now, 3 The distance from Point A to Point C let c (Side) 246 feet (given) distance from Point A to Point C is (ĀC is), let SinB from the Law of Sines, b 246 Sinc" Sin 48 Sin 51° sin 48 Sinsi (246) 235.237 feet Now, Avea of ABC, bc Sinh (235-237)(246) Sin 81' 2 2 Distance Across the River 28,577.945 B As, We know, Area = 1 base (height) a (28,577.945) = ¿ (246)(h) h = 232.341 с CS Scanned with CamScanner