Lesson Worksheet: Right Triangle Trigonometry: Solving for a Side Mathematics

In this worksheet, we will practice finding the value of a missing side length in a right triangle by choosing the appropriate trigonometric ratio for a given angle.

Q1:

Find to two decimal places. Q2:

Find the length of giving the answer to two decimal places. Q3:

is an isosceles triangle where , and . Find the length of giving the answer to one decimal place. Q4:

Find to two decimal places. Q5:

In the figure . Q6:

Find the values of and giving the answer to three decimal places. • A,
• B,
• C,
• D,

Q7:

is a right-angled triangle at where and . Find the lengths of and giving the answer to two decimal places and the measure of giving the answer to the nearest degree.

• A, ,
• B, ,
• C, ,
• D, ,

Q8:

is a rhombus where the side length is 28 m and . Find the lengths of the diagonals giving the answer to three decimal places.

• A,
• B,
• C,
• D,
• E,

Q9:

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.

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? Give your answer to two decimal places.

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