Lesson Worksheet: Trigonometry in Three Dimensions Mathematics
In this worksheet, we will practice solving trigonometry problems in three dimensions.
Q1:
Using the trigonometric ratios, find .
- A
- B
- C
- D
- E
Q2:
A cuboid is shown in the figure. Calculate the angle between and . Give your answer to two decimal places.
Q3:
The figure shows a right triangular prism. Find the angle between and , giving your answer to two decimal places.
Q4:
A cuboid is shown in the figure. Find the angle between the diagonals and . Give your answer to two decimal places.
Q5:
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.
Q6:
In the given cuboid, calculate angle .
Q7:
In the given pyramid, calculate angle to the nearest degree.
Q8:
In the given triangular prism, calculate angle to the nearest degree.
Q9:
In the given rectangular prism, calculate, to the nearest degree, the angle between and plane .
Q10:
In the given figure, calculate the length of .
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