Find the value of angle A.
Use the triangle below to answer this question.

Question

Find the value of angle A.
Use the triangle below to answer this question.

anonymous · Answer

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jim_thompson5910 · Answer

sin(A) = 20/25


sin(A) = 0.8


A = arcsin(0.8)


A = 53.130102 (roughly)


So angle A is approximately 53.130102 degrees.

anonymous · Answer

What is the angle of B?

jim_thompson5910 · Answer

same thing, but now say

cos(B) = 20/25

and use the same techniques to solve for B

jim_thompson5910 · Answer

alternatively, you can exploit the fact that this is a right triangle and use the idea that

A+B = 90 degrees

anonymous · Answer

How do you find the tan of B?

jim_thompson5910 · Answer

tan(B) = opposite/adjacent

What's the side opposite angle B? That would be the side that's 15 units. So you replace "opposite" with 15. You do the same for the "adjacent" portion as well.

anonymous · Answer

what sides are what the opposite is obvious but what side is adj? the hypotenus?

jim_thompson5910 · Answer

the hypotenuse is always the longest side and it is always opposite the right angle

jim_thompson5910 · Answer

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jim_thompson5910 · Answer

this is true for any right triangle (regardless of which angle you're using)

jim_thompson5910 · Answer

the opposite is always on the furthest side from the angle and the opposite side is a leg

the adjacent is always on the closest side to the angle and the adjacent side is a leg

the opposite and adjacent will flip if you go from A to B