In triangle ABC, how do you solve the right triangle given 'a' is 7 m, and the angle 'A' is 22 degrees?

1 Answer
Sep 29, 2015

(Assuming the right angle is at C)
B=68
c=7sin(22)meters
b=7tan(22)meters

Explanation:

Everything that follows is under the assumption that the right angle is C. If the intent is that B is the right angle, exchange B and C in the explanation below:

Since A=22 and C=90
and the sum of interior angles of a triangle is 180
B=68

For the A
the opposite side is a(=7)m
the adjacent side is b and
the hypotenuse is c

sin(22)=oppositehypotenuse=7c

c=7sin(22)

and

tan(22)=oppositeadjacent=7b

b=7tan(22)

Note:
a calculator could be used to evaluate:
XXXb=7tan(22)17.33
and
XXXc=7sin(22)18.69