From everyday questions to specialized queries, IDNLearn.com has the answers. Discover in-depth and reliable answers to all your questions from our knowledgeable community members who are always ready to assist.
Sagot :
Answer/Step-by-step explanation:
A1. Reference angle = 41°
Hypotenuse = x
Adjacent = 7
Thus, applying trigonometric ratio, we would have:
Cos 41 = 7/x
Multiply both sides by x
x × cos 41 = 7
Divide both sides by cos 41
x = 7/cos 41
x = 9.3 (nearest tenth)
A2. Reference angle = 65°
Hypotenuse = 6
Opposite = y
Thus, applying trigonometric ratio, we would have:
Sin 65 = y/6
Multiply both sides by 6
6 × sin 65 = y
5.4 = y (nearest tenth)
y = 5.4
A3. Reference angle = 50°
Hypotenuse = z
Opposite = 8
Thus, applying trigonometric ratio, we would have:
Sin 50 = 8/z
Multiply both sides by z
z × sin 50 = 8
Divide both sides by sin 50
z = 8/sin 50
z = 10.4 (nearest tenth)
B1. Reference angle = 49°
Hypotenuse = x
Opposite = 7
Thus, applying trigonometric ratio, we would have:
Sin 49 = 7/x
Multiply both sides by x
x × sin 49 = 7
Divide both sides by sin 49
x = 7/sin 49
x = 9.3 (nearest tenth)
B2. Reference angle = 25°
Hypotenuse = 6
Adjacent = y
Thus, applying trigonometric ratio, we would have:
Cos 25 = y/6
Multiply both sides by 6
6 × cos 25 = y
y = 5.4 (nearest tenth)
B3. Reference angle = 40°
Hypotenuse = z
Adjacent = 8
Thus, applying trigonometric ratio, we would have:
Cos 40 = 8/z
Multiply both sides by z
z × cos 40 = 8
Divide both sides by cos 40
z = 8/cos 40
z = 10.4 (nearest tenth)
Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. Thank you for trusting IDNLearn.com with your questions. Visit us again for clear, concise, and accurate answers.