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A right triangle has one leg that measures 14 feet an another that measures 15 feet. Use sine, cosine, and/or tangent to find the measures of its acute angles.

Answer :

abidemiokin

The measures of its acute angles are 46.97 and 43.03degrees

What is a triangle?

A triangle is a 2-D shape that has 3 sides and angles

For the right triangle:

  • One leg = 14 feet
  • Other leg = 15ft

The Pythagoras theorem

It states that the square of the longest side is equal to the sum of the square of the other two sides.

The hypotenuse is expressed as:

h² =14² + 15²

h = √196 + 225

h = 20.52

Get the acute angles

Sin theta = opp/hyp

Sin theta = 15/20.52

Sin theta = 46.97 degrees

The other acute angle will be  90 - 46. 97 = 43.03

Hence the measures of its acute angles are 46.97 and 43.03degrees

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