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Rahim and Nadeem are two friends whose plots are adjacent to each other. Rahim's son made a drawing of the plots with necessary details. It is decided that Rahim will fence the triangular plot ABC and Nadeem will fence along the sides AF, FE and BE. Observe the diagram carefully and answer the following questions : (Use √2 = 1.41 and √3 = 1.73)
Evaluate (5cos²60° + 4sec²30° – tan²45°)/(sin²30° + cos²30°)
Qutub Minar, located in South Delhi, India, was built in the year 1193. It is 72 m high tower. Working on a school project, Charu and Daljeet visited the monument. They used trigonometry to find their distance from the tower. Observe the picture given below. Points C and D represent their positions on the ground in line with the base of tower, the angles of elevation of top of the tower (Point A) are 60° and 45° from points C and D respectively.
The angles of depression of the top and bottom of a 6 m tall building from the top of a multi-storeyed building are 30° and 45° respectively. Find the height of the multi-storeyed building and the distance between the two buildings. (Use √3 = 1·73)
At some time of the day, the height and length of the shadow of a man are equal. The sun's altitude is :
(1 − tan² 45°)/(1 + tan² 45°) is equal to:
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