# 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 .

What is ? Give your answer to two decimal places.

**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 cm 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.