A man stands on a ship's deck 10 m above sea level. He sees a lighthouse at a horizontal distance of 10 √3 m; its top is at an angle of elevation of 60° above deck level. Find the total height of the lighthouse above sea level (in m).

Question

Accepted Answer

40. Above deck: tan 60 = x10 √3 => x = 10 √3 x √3 = 30. Add deck height 10 => total = 30 + 10 = 40 m.

A man stands on a ship's deck 10 m above sea level. He sees a lighthouse at a horizontal distance of 10 $3$ m; its top is at an angle of elevation of 60° above deck level.
Find the total height of the lighthouse above sea level (in m).

Step-by-Step Solution

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More Class 10 Heights and Distances practice

A man stands on a ship's deck 10 m above sea level. He sees a lighthouse at a horizontal distance of 10 3​ m; its top is at an angle of elevation of 60° above deck level.Find the total height of the lighthouse above sea level (in m).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Heights and Distances practice

A man stands on a ship's deck 10 m above sea level. He sees a lighthouse at a horizontal distance of 10 $3$ m; its top is at an angle of elevation of 60° above deck level.
Find the total height of the lighthouse above sea level (in m).