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SOLVE AND EXPLAIN HOW TO SOLVE

SOLVE AND EXPLAIN HOW TO SOLVE-example-1
User Drikus Roor
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1 Answer

21 votes
21 votes

Answer:

4.13

Explanation:

Using sine ratio where it states that sine of a measurement is equal to ratio of opposite of measurement to hypotenuse (slant side/side with slope)

From the question, our opposite is x, hypotenuse is given as 15 units and the measurement is 16°. Apply the formula:


\displaystyle{\sin 16^(\circ) = (x)/(15)}

Move 15 to multiply sin(16°):


\displaystyle{15\sin 16^(\circ) = x}

Go ahead and input the value in a calculator since it's not a special triangle - a measurement that can be found using hand method - after you find the value, round it to 2 decimal places:


\displaystyle{x = 4.13456033...}

Therefore, after rounding to 2 decimal places, the answer is:


\displaystyle{x=4.13}

Therefore, the value of x is 4.13 units.

User Abdalrahman
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2.7k points