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What cos is and what Sin is of this triangle

What cos is and what Sin is of this triangle-example-1

2 Answers

4 votes

Answer:

cos65°= x/11

cos65° × 11=x

4.65=x

User LuisCien
by
8.3k points
4 votes

Answer:

  1. 25°
  2. x
  3. 11
  4. 65°
  5. x
  6. 11

Explanation:

You want to know suitable equations that can be solved for x given that AC=x, AB=11, and ∆ABC is a right triangle with angle A=25° and C=90°.

Trig relations

The mnemonic SOH CAH TOA reminds you that ...

Sin = Opposite/Hypotenuse

Cos = Adjacent/Hypotenuse

Angles

The side marked 11 is the hypotenuse, and the side marked x is adjacent to the 25° angle and opposite angle B. We can find the measure of angle B as the complement of angle A:

∠B = 90° -25° = 65°

Application

The cosine relation is ...

cos(A) = AC/AB

cos(25°) = x/11

The sine relation is ...

sin(B) = AC/AB

sin(65°) = x/11

These are equations you can solve to find x.

User Bradley Campbell
by
8.5k points

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