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Please help need ASAP

Please help need ASAP-example-1
User Cosmin SD
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1 Answer

10 votes

Answers:

  • side AT = 36.122997 (approximate)
  • side TR = 14.692547 (approximate)
  • angle T = 66 degrees

===============================================

Step-by-step explanation:

We'll use the cosine ratio to find side AT

cos(angle) = adjacent/hypotenuse

cos(A) = AR/AT

cos(24) = 33/AT

AT*cos(24) = 33

AT = 33/cos(24)

AT = 36.1229971906996

AT = 36.122997 approximately

---------------------------------

We could use the sine or tangent ratio to find side TR, but let's use the pythagorean theorem instead.

a^2 + b^2 = c^2

(AR)^2 + (TR)^2 = (AT)^2

33^2 + (TR)^2 = (36.1229971906996)^2

1089 + (TR)^2 = 1304.8709260393

(TR)^2 = 1304.8709260393 - 1089

(TR)^2 = 215.8709260393

TR = sqrt(215.8709260393)

TR = 14.6925466151821

TR = 14.692547 also approximate

---------------------------------

We could use any of the trig ratios of sine, cosine, or tangent to solve for angle T.

However, it's easiest to take advantage of the fact that angles A and T are complementary.

So,

A+T = 90

T = 90-A

T = 90-24

T = 66 degrees

This value is exact.

User Christopher Corley
by
8.9k points

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