159k views
3 votes
Use the theorem below to answer the question. Suppose θ is an acute angle residing in a right triangle. If the length of the side adjacent to θ is a, the length of the side opposite θ is b, and the length of the hypotenuse is c, then cos(θ) = a c and sin(θ) = b c . If θ = 13° and the side adjacent to θ has length 4, how long is the hypotenuse? (Round your answer to three decimal places.)

User Astra Bear
by
8.0k points

2 Answers

5 votes

Answer:

Solve the equation where the sine of 30 degrees is equal to YZ/50.

Solve 180 – (30 + 90) = 60 to find the measure of angle Z. Then use the cosine of Z to write and solve an equation.

Use the 30°-60°-90° triangle theorem to find that YZ = 50/2.

Explanation:

These are the sample answers, use how you would like :)

User Distra
by
8.2k points
5 votes

Answer:

c ≈ 4.105

Explanation:

You want to find c in ...

cos(13°) = 4/c

Multiply the equation by c/cos(13°) and evaluate.

c = 4/cos(13°) ≈ 4.105

User James Elegan
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories