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# Lesson Worksheet: Trigonometry in Three Dimensions Mathematics

In this worksheet, we will practice solving trigonometry problems in three dimensions.

Question 5

The bearing from point A to a tower positioned at point C is . The distance between point A and the tower is 100 m and the elevation of the top of the tower from point A is . From point D, the tower is on a bearing of , and the bearing of D from A is .

Calculate the height of the tower to the nearest tenth.

Calculate the distance AD to the nearest tenth.

Question 6

In the given cuboid, calculate angle .

Question 7

In the given pyramid, calculate angle to the nearest degree.

Question 8

In the given triangular prism, calculate angle to the nearest degree.

Question 9

In the given rectangular prism, calculate, to the nearest degree, the angle between and plane .