Solve the triangle for all missing sides and angles
2 answers:
Answer:
a=9
c= 17.5
angles: a =31, b =59, c =90
Step-by-step explanation:
a:
tan (31) = a/15 *cross multiply*
a = 15 (tan (31))
a = 9
c:
*use pythagorean theorum*
9^2 + 15^2 = c^2
81 + 225 = c^2
306 = c^2
17.5 = c
Answer:
B = 59
a = 9.01
c = 17.49
Step-by-step explanation:
Angle B
180 - 90 - 31 = 59
c
The sine of an angle is equal to the ratio of the opposite side to the hypotenuse.
sin(B)=opp/hyp
sin(B)=15/c
sin(59)=15/c
c=15/sin(59)
c=17.49
Find the last side of the triangle using the Pythagorean theorem.
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