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Answer:
58.03 degrees
Step-by-step explanation:
Use the mnemonic SOHCAHTOA.
Since 9 is adjacent to x and 17 is the hypotenuse, we will use Cos.
Inverse cos (9/17) = 58.03428124 = 58.03
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Rewritten by : Barada
For the angle x in the right triangle with a 9 cm base and a 17 cm hypotenuse, we use the sine function. Solving for x, we find that x is approximately 31.05 degrees.
To solve for x in the right triangle with a base of 9 cm, a hypotenuse of 17 cm, and an angle opposite the base, we can use the trigonometric relationship of sine (sin) since we have the opposite and hypotenuse sides.
The equation for sine is:
sin(x) = opposite / hypotenuse
In this case, the opposite side is the base (9 cm) and the hypotenuse is 17 cm:
sin(x) = 9 cm / 17 cm
Now, to solve for x, we need to take the inverse sine (arcsin) of the ratio:
x = arcsin(9 cm / 17 cm)
Using a calculator, we can find the value of x:
x ≈ arcsin(0.5294)
x ≈ 31.05 degrees (rounded to the nearest hundredth)
So, the angle x is approximately 31.05 degrees.
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