Answer:
Step-by-step explanation:
Let's first have a look at the basic trigoniometric statements, which say the following:
[tex]\sin( \alpha ) = \frac{opposite \: side}{hypotenuse} \\ \cos( \alpha ) = \frac{adjecent \: side}{hyptenuse}[/tex]
When we're looking from the point of view of angle G, we have the following data:
Since the hypotenuse is 17
adjacent is 8,
the value of the opposite is x:
Let the side be x
[tex]x^2 = 17^2 - 8^2\\\\x^2 = 289 - 64\\\\x^2 = 225\\\\x = \sqrt{225} \\\\x = 15[/tex]
- The length of the opposite side is 15
- The length of the adjecent side is 8
- The length of the hypotenuse is 17
Now plug in this data into our general formulae.
[tex]\sin(g) = \frac{15}{17} \\ \cos(g) = \frac{8}{17}[/tex]
Hence, answer B. is correct.
~ Hope this helps you!
Answer: 15/17
Step-by-step explanation:
Cos A = 8/17
Recall that cos = adjacent/hypotenuse
Since the hypotenuse is 17 and the adjacent is 8, the value of the opposite which is the remaining side of the triangle will be:
Let the side be x
x² = 17² - 8²
x² = 289 - 64
x² = 225
x = ✓225
x = 15
The remaining side has a value of 15
Recall that sin = opposite/hypotenuse
Sin A = 15/17
