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The Law of Sines: a/sin A = b/sin B = c/sin C

24/sin 42˚ = c/sin (180˚ - 42˚ - 87˚) since there are 180˚ in a triangle.

24/sin 42˚ = c/sin 51˚

c = 24(sin 51˚)/sin 42˚ ≈ 28

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What is the measure of angle A in triangle ABC if B equals 15 degrees C equals 65 degrees and side a equals 19?

If you are really talking about a closed triangle ABC, then the length of side "a" (given as 19) does not matter in the calculation. Sum of the angles of a triangle is 180 degrees. Angle B and C add up to 15 + 65 = 80 degrees. Hence angle A is (180 - 80) = 100 degrees


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In effect, you have a right-angled triangle with an adjacent angle of 41.3o and an opposite side of 114 feet. There are several ways to find the length of the string (which in effect is the hypotenuse of the triangle), but in this case, the quickest way is to use the sine ratio. For any right-angled triangle: sin angle = opposite/hypotenuse. Rearranging the equation: hypotenuse = opposite/sin angle hypotenuse = 114/sin 41.3o hypotenuse = 172.7268362 feet. Therefore, the string is 173 feet in length correct to the nearest foot.


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Related Questions

What is the length of BC in this triangle angle BAC equals 40 degrees and angle ABC equals 50 degrees and angle BCA equals 90 degrees .?

In order to find length BC the length of AC or length of the hypotenuse must be given


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How do you know when a triangle is 90 degrees?

we know that a triangle is 90 degrees by measuring its length or it can be known as right triangle which measures 90 degrees.


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It's called an 'equilateral triangle'.


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The area of a right angled triangle would be .5 * length *width where the length is the height of the triangle. To find the height of the triangle, take the sine of 45 degrees, which is the degree of the angles other than the 90 degrees, and multiply it by the length of one of the two equal sides. The width of the triangle is the length of the bottom side.


Can the sum of two sides of a triangle be less than the third side?

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