From the foot of a hill, the angle of elevation of the top of a tower is found to be 45 degree. After walking 21 kms. upwards along the slope of the hill, which is inclined at 30 degree, the same is formed to be 60 degree. Find the height of the hill along with the tower.

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Two parallel beams of light P and Q are incident normally on a prism and the transmitted rays are brought to focus with the help of a convergent lens as shown. If the intensities of the upper and lower beams immediately after transmission from face AC are 4I abd I, respectively, find the resultant intensity at the focus.

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The system of connected flexible cables shown in the figure is supporting 2 loads of 550N and 600N at points B and D. Determine the tensions in various segments of the cable