Solve any two sub-questions:

ΔSHR ∼ ΔSVU. In ΔSHR, SH = 4.5 cm, HR = 5.2 cm, SR = 5.8 cm and . Construct ΔSUV.

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A person standing on the bank of a river observes that the angle of elevation of the top of a tree standing on the opposite bank is 60°. When he moves 40 m away from the bank, he finds the angle of elevation to be 30°. Find the height of the tree and width of the river. (√3 = 1.73)

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A(5,4), B(-3,-2) and C(1,-8) are the vertices of a triangle ABC. Find the equations of median AD and line parallel to AC passing through the point B.

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In the following figure, AE = EF = AF = BE = CF = a, AT ⊥ BC. Show that AB = AC = √3 x a.

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Water flows at the rate of 15 m per minute through a cylindrical pipe, having the diameter 20 mm. How much time will it take to fill a conical vessel of abse diameter 40 cm and depth 4 cm?