# trigonometry

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Solve the following right triangles:
a. a=117 ft, b=16.35 ft
b. B=8 degrees 29',and a=32.8 ft

for a. got 118.14 by Applying the Pythagorean Theorem a^2 + b^2 = c^2.

can you show me the steps of how to solve b.

• trigonometry -

"solving" a triangle involves finding all missing sides and angles, so in
a) you found the sides, but still no angle.
tan B = 16.35/117 = 0.13974
angle B = 7.96°
subtract from 90° to find angle A

b) angle B = 8° 29' = (8+29/60)° = 8.48333°

tan 8.48333° = b/32.8
b= 4.892

now use Pythagoras to find the third side, and subtract angle B from 90 to get angle A

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