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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.