What is the value of k in the equation?
2 answers:
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Consider the circle with center X, as shown in the figure.
Draw the diameter of the circle which is parallel to cherd AB, as shown in the figure.
Since the diameter and AB are parallel, then the line segment XC which bisects AB at C, will be perpendicular to AB.
SO triangle XCB is a right triangle. Thus the length of CX, by the Pythagorean theorem is
units.
Answer: 8 units
Draw the diameter of the circle which is parallel to cherd AB, as shown in the figure.
Since the diameter and AB are parallel, then the line segment XC which bisects AB at C, will be perpendicular to AB.
SO triangle XCB is a right triangle. Thus the length of CX, by the Pythagorean theorem is
Answer: 8 units
Answer:
12.0
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the trig function relating the adjacent side of an angle in a right triangle to the hypotenuse:
Cos = Adjacent/Hypotenuse
Filling in the given values, we have ...
cos(24°) = 11/x
Multiplying this equation by x/cos(24°), we get ...
x = 11/cos(24°) ≈ 12.0
