Mathematics 10 — Exercise 7.3 · Q7

Full question

A tower is viewed at 28° from a point 60 m from its base. Find the tower height.

Step-by-step solution

1. Tangent is opposite/adjacent. Multiply by the known horizontal distance.

2. Substitute the given values into the displayed formula.

   $$\mathrm{required\; length}=60\times \tan \left(\mathrm{28°}\right)$$

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

   $$\mathrm{required\; length}=31.902566$$

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

   $$\mathrm{required\; length}=\mathrm{31.903}$$

Answer

The final answer is shown below.