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Examples
Last updated at May 29, 2023 by Teachoo
Example 1 A tower stands vertically on the ground. From a point on the ground, which is 15 m away from the foot of the tower, the angle of elevation of the top of the tower is found to be 60Ā°. Find the height of the tower. Let, the height of the tower be H meter. So, AB = H metre Distance of the point from the foot of the tower = 15m Hence, CB = 15m Angle of elevation = 60Ā° ā ACB = 60Ā° Since tower is vertical to ground, So, ā ABC = 90Ā° Now, tan C = (šššš ššššš šš”š š”š ššššš" c " )/(šššš šššššššš” š”š ššššš" " š¶) tan C = (" " š“šµ)/š¶šµ tan 60Ā° = š“šµ/š¶šµ ā3 = š»/15 15ā3 = H H = 15ā3 Hence, height of the tower = H = 15ā3 m