Aright triangle has one angle that measure 23o. the adjacent leg measures 27.6 cm and the hypotenuse measures 30 cm. what is the approximate area of the triangle? round to the nearest tenth. area of a triangle = bh 68.7 cm2 161.7 cm2 381.3 cm2 450.0 cm2

Area of a triangle =

In a right angle triangle the two legs are the base and height of the triangle.

One angle of the triangle is 23 degree  and one adjacent leg is 27.6 cm.Let the other leg opposite to 23 degree angle by x.Sine of an angle is ratio of opposite and hypotenuse. Hypotenuse is given as 30 cm.

x= 30 sin23.

x=11.72cm.

The legs of the triangle are 11.72 cm and 27.6 cm.

Area of triangle =

yes. we do proportions in probabilities.

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.