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Schach [20]
3 years ago
8

The point (8, –15) is on the terminal side of an angle θ. What is sin θ ?

Mathematics
1 answer:
katen-ka-za [31]3 years ago
7 0
Let's calculate the hypotenuse of this right triangle:

(Hypotenuse)² = 8² + 15² = 289, Hypotenuse = √289 = 17.

a) If Ф is facing the largest side (15), then sinФ = opposite side / hypotenuse
and sinФ = 15/17 = 0.8823

b) If Ф is facing the smallest  side (8), then sinФ = opposite side / hypotenuse
and sinФ = 8/17 = 0.4705
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Answer:

Hypothenus = 22

Step-by-step explanation:

From the question given above, we were told that the triangles are congruent (i.e same size). Thus,

AC = EF

BC = DE

To obtain the length of each Hypothenus, we shall determine the value of y and x. This can be obtained as follow:

For y:

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Collect like terms

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Finally, we shall determine the length of each Hypothenus. This can be obtained as follow:

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x = 3

Hypothenus = 5x + 7

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Hypothenus = 22

OR

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