Showing posts with the label Height and DistanceShow all
The angle of depression of the bottom of the top of 20 meter high building, front he too if the tower is 30° and the angle of elevation of the top of tower from the foot of building is 60°. Find the height of the tower.
Height and Distance

The angle of depression of the bottom of the top of 20 meter high building, front he too if the tower is 30° and the angle of elevation of the top of tower from the foot of building is 60°. Find the height of the tower.

Solution: Given, Height of the building (AD) = 20m Angle of depression ( angle.FEA ) = 30° Angle of elevation (angle.CDE ) = 60° From the figure, ABCD is a rectangle.  So, AD = BC = 20m and AB = CD . In right angled ∆CDE tan 60° = $\dfrac{ EB + BC}{CD}$ or, √3 = $\dfrac{ x + 20}{CD} or, √3 CD = x + 20 or, CD = $\dfrac{x +20}{√3}$ In…

Read more
Exercise 16.1 | Height and Distance | vedanta Excel in Mathematics | Class 10
Height and Distance

Exercise 16.1 | Height and Distance | vedanta Excel in Mathematics | Class 10

Exercise 16.1 Other solutions from this unit: Exercise 16.2 - Area of Triangles General Section 1. Find the unknown lengths of the sides of the following figures. [Refer to your book for the figures] a)  Solution : Here, $tan45 ^o = \dfrac{x}{20}$ $or, 1 = \dfrac{x}{20}$ $\therefore x = 20m$ And, $sin 45 ^o = …

Read more