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.
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