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4 votes
Which of these could be the value of x in

the triangle below?
42°
C
A 5
B 6
38
53
A
85
© 8
10
26
B

Which of these could be the value of x in the triangle below? 42° C A 5 B 6 38 53 A-example-1
User Niema
by
8.2k points

1 Answer

4 votes

In the given triangle, we have a right triangle where one angle is 90 degrees (marked as a square symbol). To find the value of x, we can use the trigonometric ratios sine, cosine, or tangent.

Looking at the triangle, we can see that the side adjacent to the angle x is 8 cm, and the hypotenuse of the triangle is 10 cm.

Using the cosine ratio, which is defined as the adjacent side divided by the hypotenuse, we can set up the equation:

cos(x) = adjacent/hypotenuse

cos(x) = 8/10

To find the value of x, we can take the inverse cosine (arccos) of both sides:

x = arccos(8/10)

Using a calculator, we can determine the approximate value of x:

x ≈ 36.87 degrees

Therefore, the value of x in the given triangle is approximately 36.87 degrees.

User Jonathan Newton
by
7.8k points

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