answersLogoWhite

0


Best Answer

28

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

User Avatar

Wiki User

โˆ™ 2013-02-24 01:23:49
This answer is:
User Avatar
Study guides

Science

20 cards

Is glucose solution a homogenous mixture

Who were scalawags and carpetbaggers

What other ocean floor feature is formed by movement of earths plates

Properties that describe the appearance of matter are known as what properties

โžก๏ธ
See all cards
3.81
โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…
37 Reviews

Add your answer:

Earn +20 pts
Q: What is the length of side c in Triangle ABC to the nearest whole number if A equals 42 degrees and B equals 87 degrees and a equals 24?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Trigonometry

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


Different kinds of triangles in terms of sides?

An isosceles triangle has two sides the same length. An equilateral has all 3 sides the same length. A scalene triangle doesn't have any sides that are the same length.


How do you find the length of one side of a triangle?

The answer depends on what information you do have.


A kite string makes an angle of 41point3 degrees with the level ground when the kite is 114 ft high how long is the string?

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.


What is the ratios function of sin?

The sine of an angle in a right triangle is the ratio of the length of the side opposite the angle to the length of the hypotenuse.In terms of ratios, the sine of an angle is defined, in a right angled triangle, as the ratio of lengths of the opposite side to the hypotenuse.

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


Triangle abc is an equilateral triangle bc equals 10 what is the length of ad give your answer to the nearest whole number?

5


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


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.


What is the length of the hypotenuse of the right triangle if AC equals 6 and AD equals 5?

The length of the hypotenuse of a right triangle if AC equals 6 and AD equals 5 is: 7.81


Given triangle ABC angle B is 38 degrees angle c is 56 degrees and BC equals 63 cm find the length of AB?

52.4 cm


What is a triangle with all three sides equals in length?

It's called an 'equilateral triangle'.


Which is a triangle with no sides the same length and an interior angle measuring 90 degrees?

This is a right triangle.


Area of an isosceles right angled triangle?

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.


What are the 30-60-90 triangles?

In a right triangle where two other angles are 30 and 60 degrees, the side opposite to the 30 degree angle has a length that equals the half of the hypotenuse length.


What is the meaning of equiamgular triangle?

If you mean an equilateral triangle then it is a triangle with sides of equal length and interior angles of 60 degrees


What is the length of rt if rs equals 6 and st equals 6 and mo equals 11 and triangle rst equals triangle mno?

If triangle RST equals triangle MNO then RT = MO = 11 units. All the rest of the question - the lengths of RS and ST are irrelevant.

People also asked

What is the value of sin 28?

View results

What is the measure of y in degrees?

View results

How do you depict sin 2x in a diagram?

View results

Is PQR XYZ If so name which similarity postulate or theorem applies.?

View results

What is the similarity postulate or theorem that applies.David drew PQR and STU so that P S PR 12 SU 3 PQ 20 and ST 5. Are PQR and STU similar?

View results