From the top of a cliff 92.9 m above a stream the angle of depression to a point on the near shore is 48.5 degrees and to a point on the far shore is 37.9 degrees find the width of the stream between these two points

37,15m

Step-by-step explanation:

the distance between top of the cliff to the ground at shore level

and the distance between the top of the clif to the stream shore

defines a triangle rectangle.

Where:

x= distance from shore to bottom of the cliff

y= distance from top of the cliff to the bottom of the cliff

α1= 90°-48,5°= 41,5°

α2=90°-37,9°= 52,1°

x1= distance between near shore to the bottom of the cliff

x2= distance between far shore to the bottom of the cliff

distance= 37,15°

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step-by-step explanation:

the 2 figures are congruent bc if you reflect abcd over the y axis then over the d axis the figures overlap