Trigonometry – Right Triangles Review Questions

Trigonometry – Right Triangles Review Questions - B = 90...

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Trigonometry – Right Triangles Review Questions Problem : Solve the following right triangle, in which C = 90 o : a = 6 , B = 40 o . A = 90 o - B = 50 o . b = a tan( B ) 5.0 . c = 7.8 . Problem : Solve the following right triangle, in which C = 90 o : b = 6 , c = 8 . a = 5.3 . A = arcsin( ) 41.4 o . B = 90 o - A 48.6 o . Problem : Solve the following right triangle, in which C = 90 o : A = 40 , B = 50 . This triangle cannot be solved. Three angles is not sufficient information to determine a unique triangle. Problem : Solve the following right triangle, in which C = 90 o : b = 6 , B = 72 o . A = 90 o - B = 18 o . a = b tan( A ) 1.9 . c = 6.3 . Problem : Solve the following right triangle, in which C = 90 o : c = 41 , A = 20 o . B = 90 o - A = 70 o . a = c sin( A ) 14.0 . b = 38.5 . Problem : Solve the following right triangle. c = = 10 . B = arctan( ) 36.9 o . A = 90 o - B 53.1 o . Problem : Solve the following right triangle.
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Unformatted text preview: B = 90 o - A = 75 o . a = b tan( A ) .8 . c = 3.1 . Problem : Solve the following right triangle. A = 90 o - B = 52 o . b = c cos( A ) 4.8 . a = 6.1 . Problem : A 14 foot ladder is used to scale a 13 foot wall. At what angle of elevation must the ladder be situated in order to reach the top of the wall? x = arcsin( ) 68.3 o . The ladder must be situated with about a 68.2 o angle of elevation in order to reach the top of the wall. Problem : A ramp is needed to allow vehicles to climb a 2 foot wall. The angle of elevation in order for the vehicles to safely go up must be 30 o or less, and the longest ramp available is 5 feet long. Can this ramp be used safely? Yes. With the 5 foot ramp in place, the angle of elevation is arcsin( ) 23.6 o , which is within the allowable measure....
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