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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?
a) 9 units, 12 units
b) 11 units, 10.2 units
c)4.9 units, 15.8 units
d)4.9 units, 14.2 units
e)5.2 units, 14.1 units

Respuesta :

meerkat18
The legs of a triangle with a hypotenuse that measures 15 units long have lengths that are equal to 15 times the sine or cosine of the given angle.
                      leg 1 = (15 units) x (cos 19) = 14.18 units
                      leg 2 = (15 units) x (sin 19) = 4.88 units
The lengths of the legs are 14.18 units and 4.88 units. 

The length of the legs of a right triangle  in which one acute angle measures 19° and the hypotenuse is 15 units are 4.9 units and 14.2 units.

What is a right angle triangle?

A right angle triangle has one of its angles as 90 degrees. The sides can be found using pythagoras theorem or trigonometric ratios.

Therefore,

sin 19 = opposite / hypotenuse

sin 19  = h / 15

cross multiply

h = 15 sin 19

h = 4.88352231686 = 4.9 units

Hence,

cos 19 = adjacent / hypotenuse

cos 19 = x / 15

cross multiply

x = 15 cos 19

x = 14.182778634 = 14.2 units

Therefore, the other  legs are 4.9 units and 14.2 units.

learn more on right triangle here: brainly.com/question/1478228

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