The shorter base of isosceles trapezoid is 6 cm. the altitude is 10 cm. the acute angle of the trapezoid is 63º. find the longer base.

Step-by-step explanation:

Based on the data given in the exercise, we can draw the isosceles trapezoid shown in the picture attached.

As you can observe in the figure, the lenght of the longer base is:

In order to find the value of "x", we need to use the following Trigonometric Identity:

In this case:

Substituting values and solving for "x". we get:

Therefore, the longer base is:

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.

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