Question

Two straight roads intersect at one end of a lake. The roads form an angle of 30° with each other. The widest part of the lake was measured with a surveyor's tape and drawn to scale as shown in the drawing.

How wide is the lake?

5000 m
5 m
50 m
500 m

Answer 1

I don’t have the drawing, so I don’t have the measured length or the scale. Could you upload the drawing or tell me:

- the length you measured on the drawing (in mm or cm), and
- the drawing scale (for example “1 cm = 100 m”)?

Then I’ll convert that to the real width.

(If you want the general method: measure the lake’s width on the drawing, multiply by the scale factor to get the real width. For example, if the drawing measurement is 5 cm and the scale is 1 cm = 100 m, the real width is 5 × 100 = 500 m.)