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Two ships X and Y are sailing away from a glacier in the same direction. If the height of the glacier is 1000 m and the angle of elevation made by the 2 ships are 45 and 30 degree respectively, then what is the distance between the two ships?

Two ships X and Y are sailing away from a glacier in the same direction. If the height of the glacier is 1000 m and the angle of elevation made by the 2 ships are 45 and 30 degree respectively, then what is the distance between the two ships? Correct Answer 1000(√3 – 1) m

Given, Angle of X ship = 45 – degree, angle of Y ship = 30 – degree, height = 1000m Let the distance between ship X and glacier be x m, ship Y and glacier be y m. Ship X ➩ tan 45 = height / base distance ➩ 1 = 1000 / x ➩ x = 1000 m Ship Y ➩ tan 30 = height / base distance ➩ 1 / √3 = 1000 / y ➩ y = 1000√3 Distance between the two ships = y – x = 1000√3 – 1000 m = 1000 (√3 – 1) m

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