Jasmine wants to find the height of her house - Junior Cycle Mathematics - Question 6 - 2013

To find the height of the house (x), we can use the tangent of the angle of elevation:

$$\tan(30°) = \frac{x}{18}$$

From the tangent table, we know that:

$$\tan(30°) \approx 0.57735$$

Rearranging the equation gives us:

$$x = 18 \tan(30°) \approx 18 \times 0.57735$$

Calculating:

$$x \approx 10.3923\text{ m}$$

Rounding to one decimal place, we find:

$$x \approx 10.4 \text{ m}$$