In die diagram is B, E en D punte in dieselfde horisontale vlak - NSC Mathematics - Question 7 - 2017 - Paper 2

To find the length of cable AE, we can use the cosine function as follows:

$$ext{cos}(40°) = \frac{10}{AE}$$

Rearranging gives:

$$AE = \frac{10}{ ext{cos}(40°)}$$

Calculating this results in:

$$AE \approx 13.05 m$$

To find the length of cable AC, we will utilize the cosine rule in triangle AEC:

$$AC^2 = CE^2 + AE^2 - 2\cdot CE\cdot AE\cdot ext{cos}(70°)$$

Substituting in our values:

$$AC^2 = (8.6)^2 + (13.05)^2 - 2\cdot (8.6)(13.05)\cdot ext{cos}(70°)$$

Calculating the components gives:

$$AC^2 \approx 167.49$$

Taking the square root provides:

$$AC \approx 12.94 m$$