In a right-angled triangle, the hypotenuse is 15 cm and the cosine of one of the acute angles is 0.6.
| December 28, 2020 | education
In a right-angled triangle, the hypotenuse is 15 cm and the cosine of one of the acute angles is 0.6. Find the leg to which this corner is attached.
In a right-angled triangle, the hypotenuse is 15 cm and the cosine of one of the acute angles is 0.6. Find the leg to which this corner is attached.
To find the leg, we use the trigonometric formula: the leg is equal to the product of the hypotenuse and the cosine of the angle to which this leg belongs, that is, if a is an unknown leg, c is the hypotenuse = 15 cm, the cosine of the angle adjacent to the leg = 0.6, then
a = 15 * 0.6 = 9 (cm)
Answer: the leg is 6 centimeters.
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