Differential Calculus and Trigonometry (Revision and problems)

[mezoelprince]

نديها بقى elevation and depression و كمان solution of the triangle

1)From a window of a building 8 m high, the elevation angle of the top of a tree was measured and found to be 25 , and the measure of the depression angle of the bottom of such tree was 40 . Find the height of the tree and its distance from the building.


2)A man observed the top of a tower at an angle of elevation of 25 . When he walked horizontally towards the base of the tower 40 meteres, the measure of the anlge of elevation of the top became 42 . Find the height of the tower.

3)A ship started sailing in the direction 18 south west with velocity 25 km/h. At the same time another ship started sailing from the same point in the direction 48 west north with velcoity 15 km/h. find the distance between the two ships after two hours.

4)A tree was broken such that its top touched the ground and its upper part made an angle of measure 50 with the ground. If the top of the tree was at distance 8 m from its bottom. Find the length of the tree.

5)ABCD is a parallelogram, AB = 32 cm, BC = 44 cm, BD = 36 cm. Find:
i) AC
ii) area of parallelogram ABCD.


6) Solve the triangle with a = 1.25 cm, b = 2.05 cm, c = 1.52 cm.