SOLUTION: In a right triangle, the hypotenuse is 20cm, the longer leg is 13cm, and one angle is x degrees.
The triangle is not drawn to scale.
Find the value of x and round to the neares
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Question 1128902: In a right triangle, the hypotenuse is 20cm, the longer leg is 13cm, and one angle is x degrees.
The triangle is not drawn to scale.
Find the value of x and round to the nearest degree.
I think this problem uses cosine
Multichoice answers:
a. 37
b. 33
c. 41
d. 49
Found 3 solutions by rothauserc, MathLover1, KMST:
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
other side = square root(20^2 - 13^2) is approximately 15.20
:
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the longer leg is not 13 cm
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:
find angle x in your diagram, cosine of x will be one of the following
:
cosine x = 13/20
:
cosine x = 15.20/20
:
then angle x in degrees will be inverse cosine function of the cosine value
:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
the hypotenuse is , the longer leg is , and one angle isdegrees.
°
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
That is the sine of the angle opposite the 13-cm leg,
and the cosine of the angle adjacent to the 13-cm leg.
.
If your problem has a drawing, is the x on the angle adjacent to the 13-cm side,
or is the angle marked with x opposite that side
Using the inverse sine and inverse cosine functions in my calculator,
I find approximate angles:
.
Those angles add up to (as they should).
Their approximate measures, round to the nearest degree are and .
Without more information, c and d are correct answers.
If there is a drawing that gives you more information,
you can figure out if the right answer is c or d.
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