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2 years ago

Find the measure of x.

Mathematics

2 answers:

san4es73 [151]2 years ago

5 0

Answer:

cosx=adjacent/hypotenuse

triangle angle =180-(90+38)

=52°

cos(52°)=16/x

x=16/cos52

x≈23.373

BARSIC [14]2 years ago

3 0

Answer:

25.99

Step-by-step explanation:

SOH CAH TOA

(sin = opposite / hypotenuse

cos = adjacent / hypotenuse

tan = opposite / adjacent)

For the angle measurement provided (38 degrees), we know the opposite leg value, and we need to find the hypotenuse

the measurement of sin (opposite / hypotenuse) relates these two measurements

we can plug in our known values into sin:

sin = opposite / hypotenuse

sin (38) = 16 / x

(note: sin 38 = 0.61566147532, which we can round to 0.61566)

0.61566 = 16 / x

· x ·x {multiply both sides by x to get rid of fraction}

0.61566(x) = 16

÷ 0.61566 ÷0.61566 {divide both sides by 0.61566 to isolate 1x}

x = 25.9883702043

{round to nearest hundredth}

x = 25.99

so, the measure of x is 25.99 {rounded to the nearest hundredth}

hope this helps!! have a lovely day :)

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The values are a = 7, b = -9, c = -18.

Step-by-step explanation:

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