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MathNet 2014 Question 9

Math Olympiad Vault · MathNet 2014

Question 9

At the top of a slope $75~\mathrm{m}$ long there is a transmitter mast which subtends an angle of $10^\circ$ when viewed from the foot of the slope (see the figure). How tall is the mast (its height is marked $h$ in the figure), if the slope is inclined at $20^\circ$? Round the result to two decimal places.

Question illustration