Mathematics 10 — Exercise 7.3 · Q6

Full question

A game camera views at 45°. The player is 10 units ahead and 10 units above. Find the direct sight distance.

Step-by-step solution

1. The horizontal and vertical separations are perpendicular, both 10 units.

2. Calculate this operation before combining the remaining terms.

   $${10}^2=100$$

3. Calculate this operation before combining the remaining terms.

   $$100+100=200$$

4. Use d²=10²+10².

   $${10}^2+{10}^2$$

5. Square and add: 100+100=200.

6. Take √200=10√2≈14.142 units.

   $$10\times \sqrt{2}$$

Answer

The final answer is shown below.