35.5k views
20 votes
50 points!!! Picture below please help

50 points!!! Picture below please help-example-1
User James West
by
8.1k points

1 Answer

6 votes

Answer:

24/25

20/29

Explanation:

Trigonometry ratios:


sin(\theta)=(O)/(H) \\\\cos(\theta)=(A)/(H) \\\\tan(\theta)=(O)/(A)

where O is the side opposite to the angle, A is the side adjacent to the angle and H is the hypotenuse (longest side)

As angles A and C are complementary, this implies that side b is the hypotenuse and sides a and c are the legs of a right triangle.

Referring to the attached diagram:

sin(A) = O/H = a/b

cos(C) = A/H = a/b

Therefore, sin(A) ≡ cos(C)

If sin(A) = 24/25 , the value of cos(C) = 24/25

If cos(A) = 20/29, the value of sin(C) = 20/29

50 points!!! Picture below please help-example-1
User Justin Bertram
by
8.6k 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