# Lesson Worksheet: Trigonometric Ratios Mathematics

In this worksheet, we will practice finding and expressing the values of the three trigonometric ratios—sine, cosine, and tangent—for a given angle in a right triangle.

**Q1: **

Find , given that is a right triangle at , where and .

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- D

**Q2: **

What is the value of in the given triangle?

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- E

**Q3: **

A 5 m ladder is leaning against a vertical wall such that its base is 2 m from the wall. Work out the angle between the ladder and the floor, giving your answer to two decimal places.

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**Q4: **

A car is going down a ramp that is 10 meters high and 71 meters long. Find the angle between the ramp and the horizontal, giving the answer to the nearest second.

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**Q5: **

Find to two decimal places.

**Q6: **

Find to two decimal places.

**Q7: **

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

**Q8: **

Given the following figure, find the lengths of and and the measure of in degrees. Give your answers to two decimal places.

- A, ,
- B, ,
- C, ,
- D, ,
- E, ,

**Q9: **

A kite has a string of length 75 meters. The angle the string makes with the horizontal ground is . Find the height of the kite from the ground giving the answer to two decimal places.

**Q10: **

In the given figure, given that and , find the lengths of and and the measure of in degrees. Give your answers to two decimal places.

- A, ,
- B, ,
- C, ,
- D, ,
- E, ,