The diagram shows two right-angled triangles. PQR and QST are straight lines. It is given that sin x = (15)/(17) . Find the value of cos y.

asked Sep 12, 2022 152k views

25 votes

The diagram shows two right-angled triangles. PQR and QST are straight lines. It is given that sin x =
(15)/(17)

. Find the value of cos y.

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8 votes

Explanation:

$\sin(x) = (15)/(17) = (23 + c)/(34) \\ 34 * 15 = 17(23 + c) \\ 510 = 391 + 17c \\ 17c = 119 \\ c = 7$

$\sin (y) = (7)/(25) \\ y = 16.26 \\ \cos(16.26) = ( \alpha )/(25) \\ 0.96 = ( \alpha )/(25) \\ \alpha = 24$

$\cos(y) = (24)/(25)$

Yariv answered Sep 19, 2022

by Yariv

5.0k points

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