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Alina [70]
3 years ago
13

What are the lengths of the legs of a right triangle in which one acute angle measures 19° and the hypotenuse is 15 units long?

Mathematics
1 answer:
shutvik [7]3 years ago
5 0

Answer:

14.18 units  &  4.88 units

Step-by-step explanation:

The right triangle in this problem is shown in the attached image.

Using trigonometry, the adjacent leg would be 15 Cos 19°

and the opposite leg would be 15 Sin 19°

Thus,

one leg is 15 Cos 19 = 14.18 units, and

another leg is 15 Sin 19 = 4.88 units

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What are the ratio of 1:6 and 3:8, 2:14and 3:42
GrogVix [38]

The ratio of 1:6 is 1/6

The ratio of 3:8 is 3/8

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3 0
2 years ago
Geometry
trapecia [35]

Answer:

EF = 8

Step-by-step explanation:

The following data were obtained from the question:

EF = 2x

FG = 8

EG = 4x

EF =?

To obtain the value of EF, we shall first, obtain the value of x. This can be obtained as follow:

EG = EF + FG

EF = 2x

FG = 8

EG = 4x

4x = 2x + 8

Collect like terms

4x – 2x = 8

2x = 8

Divide both side by 2

x = 8/2

x = 4

Therefore, the value of x is 4.

Finally, we shall determine the the value of EF as follow:

EF = 2x

x = 4

EF = 2x

EF = 2(4)

EF = 8

**** Check ****

EG = EF + FG

EF = 2x

EG = 4x

FG = 8

4x = 2x + 8

x = 4

4(4) = 2(4) + 8

16 = 8 + 8

16 = 16

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3 years ago
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