도형의 성질 전체 문제

There is an antenna on the top of a building. From a location 300 feet from the base of the building, the angle of elevation to the top of the building is measured to be $40^\circ .$ From the same location, the angle of elevation to the top of the antenna is measured to be $43^\circ .$ Find the height of the antenna.

There is lightning rod on the top of a building. From a location 500 feet from the base of the building, the angle of elevation to the top of the building is measured to be $36^\circ .$ From the same location, the angle of elevation to the top of the lightning rod is measured to be $38^\circ .$ Find the height of the lightning rod.

A 33-ft ladder leans against a building so that the angle between the ground and the ladder is $80^\circ .$ How high does the ladder reach up the side of the building?

A 23-ft ladder leans against a building so that the angle between the ground and the ladder is $80^\circ .$ How high does the ladder reach up the side of the building?

For the following exercises, solve for the unknown sides of the given triangle.

A 15-ft ladder leans against a building so that the angle between the ground and the ladder is $70^\circ .$ How high does the ladder reach up the side of the building?