Mathematics 10 — Exercise 7.3 · Q10

Full question

A 10 m ladder makes 75° with the ground. How high on the wall does it reach?

Step-by-step solution

1. Sine is opposite/hypotenuse. Multiply both sides by the known hypotenuse.

2. Substitute the given values into the displayed formula.

   $$\mathrm{required\; length}=10\times \sin \left(\mathrm{75°}\right)$$

3. Evaluate the powers and trigonometric values before the final arithmetic.

   $$\mathrm{required\; length}=9.6592583$$

4. Round only the final result, keeping full precision for later calculations.

   $$\mathrm{required\; length}=\mathrm{9.659}$$

Answer

The final answer is shown below.