Q.8. If the altitude of the sun is at 60$\xb0$, then the height of the vertical tower that will cast a shadow of length 30 m is —

How to solve these kind of problem and what are it step as well what what we should keep in mind while sovling it give some more question related to it

Q.65. From an aeroplane vertically above a straight horizontal road, the angles of depression of two consecutive mile stones on opposite sides of the aeroplane are observed to be $\alpha and\beta $. Show that the height in miles of aeroplane above the road is given by

$\frac{\mathrm{tan}\alpha \mathrm{tan}\beta}{\mathrm{tan}\alpha +\mathrm{tan}\beta}$

28. A contractor constructs a vertical pillar at a horizontal distance of 300 m from a fixed point. It was decided that angle of elevation of the top of the complete pillar from that point to be 60°. He finished the job by making a pillar such that the angle of elevation of its top was 30°. Find the height of the pillar to be increased as per the terms of contract.

EXAMPLE 20 A round balloon of radius r subtends an angle $\alpha $ at the eye of the observer while the angle of elevation of its centre is $\beta $. Prove that the height of the centre of the balloon is

$\left(r\mathrm{sin}\beta \mathrm{cos}ec\frac{\alpha}{2}\right)$

$2\left({\mathrm{sin}}^{6}\theta +{\mathrm{cos}}^{6}\theta \right)-3\left({\mathrm{sin}}^{4}\theta +{\mathrm{cos}}^{4}\theta \right)$

(experts please give the answers with same numbers which is provided in question don’t change the numbers and don’t provide any link.)Q.8. If the altitude of the sun is at 60$\xb0$, then the height of the vertical tower that will cast a shadow of length 30 m is —