How do you find leg length, BC, to the nearest tenth if in a right triangle ABC, the hypotenuse #AB=15# and angle #A=35º#?

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Answer 1 · 2014-12-07T12:17:38

We use the sine function since side BC is opposite angle A.

By the definition, Sine function is the ratio of the opposite side to the hypotenuse of a right triangle.

Therefore,

# sin A = (BC)/(AB)#

substituting the values

#A = 35° # # AB = 15#

# sin 35° = (BC)/(15)#

multiply both sides of the equation by 15
and using reflexive property of equality

#BC = 15*sin 35°#

# BC = 8.6 #