What is sin B ?
1 answer:
Answer:
The answer to your question is sin B =
Step-by-step explanation:
Sine is the trigonometric function that relates the opposite side and the hypotenuse.
In the picture, we have the hypotenuse and the adjacent side, so we must calculate the opposite side using the Pythagorean theorem.
b² = c² - a²
b² = 17² - 15²
b² = 289 - 225
b² = 64
b = 8
Now, we can calculate the sine
sin B =
sin B =
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Answer:
<h2>1. x = 4</h2><h2>2. x = 20</h2>Step-by-step explanation:
1.
ΔABC and ΔAJK are similar (AA). Therefore the sides are in proportion:
We have:
AC = 1 + 4 = 5
AJ = 1
AB = 1 + x
AK = 1
Substitute:
<em>subtract 1 from both sides</em>
2.
ΔVUT and ΔVMN are similar (AA). Therefore the sides are in proportion:
We hve:
VU = x + 8
VM = x
VT = 49
VN = 49 - 14 = 35
Substitute:
<em>cross multiply</em>
<em>use the distributive property a(c + b) = ab + ac</em>
<em>subtract 35x from both sides</em>
<em>divide both sides by 14</em>