The shadow of a lamp is m long when the angle of elevation of the sun is 60 . Arushi is of height 3 m standing in front on the lamp post. (i) What is the height of the lamp post? (ii) What is the length of shadow of Aarushi ? (iii) How far is Aarushi from the lamp post ?

Question

KnowledgeBoat · Accepted Answer

Given, Shadow of lamp post = m Angle of elevation of sun = 60 Height of Aarushi = 3 m (i) tan 60 = We know that : tan 60 = h = = 3 × 3 = 9 m. Hence, height of lamp post = 9 m. (ii) Length of shadow of Aarushi, tan 60 = Length of shadow of Arushi = m. Hence, length of shadow of Aarushi = m. (iii) From figure : Distance of Aarushi from lamp post = Length of shadow of lamp post - Length of shadow of Aarushi Distance = m. Hence, distance of Aarushi from lamp post = m.

Mathematics

The shadow of a lamp is m long when the angle of elevation of the sun is 60 . Arushi is of height 3 m standing in front on the lamp post. (i) What is the height of the lamp post? (ii) What is the length of shadow of Aarushi ? (iii) How far is Aarushi from the lamp post ?

Trigonometrical Ratios

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