There is an antenna on the top of a building. from a location 400 feet from the base of the building, the angle of elevation to the top of the building is measured to be 37°. from the same location, the angle of elevation to the top of the antenna is measured to be 40°. find the height of the antenna. (round your answer to three decimal places.)

640.919 feet

Step-by-step explanation:

Given that there is an antenna on the top of a building. From a location 400 feet from the base of the building, the angle of elevation to the top of the building is measured to be 37°. From the same location, the angle of elevation to the top of the antenna is measured to be 40°

Let the height of building be x and that of antenna be y.

Then by considering right angle formed by horizontal line, vertical height and line made by eye contact we have

Next considering the height with antenna included we get total height

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.