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Worksheet: Finding a Missing Side Length in a Right Triangle Using Trigonometric Ratios

Q1:

Find the length of giving the answer to two decimal places.

Q2:

Find the length of giving the answer to two decimal places.

Q3:

Find the length of giving the answer to two decimal places.

Q4:

Find to two decimal places.

Q5:

Find to two decimal places.

Q6:

A truck travelled 1.5 km up a ramp which is inclined to the horizontal at an angle of . Find the height at which the truck stopped giving the answer in metres to one decimal place.

Q7:

A truck travelled 1.3 km up a ramp which is inclined to the horizontal at an angle of . Find the height at which the truck stopped giving the answer in metres to one decimal place.

Q8:

A ladder is leaning against a wall where the upper end is 4.5 m high from the ground. The angle of inclination of the ladder to the ground is . Find the length of the ladder giving the answer to two decimal places.

Q9:

A ladder is leaning against a wall where the upper end is 5.5 m high from the ground. The angle of inclination of the ladder to the ground is . Find the length of the ladder giving the answer to two decimal places.

Q10:

A 23 ft ladder leans against a building such that the angle between the ground and the ladder is . How high does the ladder reach up the side of the building?

Q11:

A kite, which is at a perpendicular height of 44 m, is attached to a string inclined at to the horizontal. Find the length of the string accurate to one decimal place.

Q12:

A kite, which is at a perpendicular height of 51 m, is attached to a string inclined at to the horizontal. Find the length of the string accurate to one decimal place.

Q13:

A kite, which is at a perpendicular height of 48 m, is attached to a string inclined at to the horizontal. Find the length of the string accurate to one decimal place.

Q14:

A preprogrammed workout on a treadmill consists of intervals of walking at various rates and angles of inclination. A incline means 1 unit of vertical rise for every 100 units of horizontal run. If the treadmill bed is 48 in long, find, to the nearest two decimal places, the vertical rise when the incline is set at .

Q15:

A preprogrammed workout on a treadmill consists of intervals of walking at various rates and angles of inclination. A incline means 1 unit of vertical rise for every 100 units of horizontal run. If the treadmill bed is 60 in long, find, to the nearest two decimal places, the vertical rise when the incline is set at .

Q16:

A preprogrammed workout on a treadmill consists of intervals of walking at various rates and angles of inclination. A incline means 1 unit of vertical rise for every 100 units of horizontal run. If the treadmill bed is 41 in long, find, to the nearest two decimal places, the vertical rise when the incline is set at .

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