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Solve for x, t, r and round to the nearest hundredth

Solve for x, t, r and round to the nearest hundredth-example-1
User Verbamour
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1 Answer

4 votes

Answer:

x = 14°

t = 12.367 ~ 12.4

r = 2.999 ~ 3

Explanation:

1st we can find x by sum theory which is the sum of all side equal to 180° .

x + 90° + 76° = 180 °

x + 166° = 180°

x= 180° - 166°

x = 14° ... So the unknown angle is 14°

and we also can solve hypotenus t and adjecent r by using sin amd cos respectively by angle 76° .

sin(76) = 12/t

sin(76) t = 12 ....... criss cross it

t = 12 / sin(76) ....... divided both side by sin(76)

t = 12.367 ~ 12.4 ....... result

And

cos(76) = r / 12.4

r = cos(76) × 12.4 .......criss cross

r = 2.999 ~ 3 ....... amswer and i approximate it

User JustHelloWorld
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