19.9k views
2 votes
Find the value of y.

Question 18 options:

A)

9.850

B)

18.610

C)

65.825

D)

124.365

Find the value of y. Question 18 options: A) 9.850 B) 18.610 C) 65.825 D) 124.365-example-1
User Baao
by
8.9k points

1 Answer

6 votes

Answer:


\Huge\boxed{B.18.610}

Explanation:

Hello There!

We can find y by using trigonometric ratios

sine, cosine and tangent


tan= (opposite)/(adjacent)

the opposite of the angle that has a measure of 28 degrees is y and the side that is adjacent to the angle is 35

so...


tan28=(y)/(35)

now we solve for y using basic algebra

we want to isolate the variable (y) using inverse operations

to get rid of the 35 we multiply each side by 35


(y)/(35) =y\\tan28*35=35tan28

now we let the calculator do the rest of the work


35tan(28)=18.60983011

*round to the nearest thousandth*

we're left with

y = 18.610

hence your answer is B

User McShaman
by
8.2k points

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