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

Question

17-07-2014
Mathematics

Answered

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

Answer :

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luana luana · Answer 1 · 2014-08-07T17:55:06-04:00

luana luana

07-08-2014

[tex]x,y-\ lengths\ of\ legs\\\\sin19^\circ=\frac{x}{15}\\\\ sin19^\circ*15=x\\\\0,32*15=x\\\\x=4,8\\\\ y^2+(4,8)^2=15^2\\\\y^2=225-23,04\\\\ y^2=201,96\\\\y=14,2\\\\Legs\ are\ equalt\ to:\ 4,8 \ and\ 14,2. [/tex]

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sofia50923 sofia50923 · Answer 2 · 2022-01-26T12:19:10-05:00

sofia50923 sofia50923

26-01-2022

Answer:

For plato users the correct option is D.

Step-by-step explanation:

D. 4.9 units, 14.2 units

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