PROBLEMS USING TRIGONOMETRIC TABLES
(1) Find the value of the following:
(i) sin 49°
(ii) cos 74
(iii) tan 54
(iv) sin 21° 21'
(v) cos 33° 53'
(vi) tan 70° 17'
Solution (2) Find the value of θ if (i) sin θ = 0.9975 (ii) cos θ = 0.6763 (iii) tan θ = 0.0720 Solution
Find the value of the following: (i) sin 65 ° 39' + cos 24 ° 57' + tan 10 ° 10' (ii) tan 70 ° 58' + cos 15 ° 26' - sin 84 ° 59' Solution (4) Find the area of a right triangle whose hypotenuse is 10 cm and one of the acute angle is 24 ° 24' Solution (5) Find the angle made by a ladder of length 5 m with the ground, if one of its end is 4 m away from the wall and the other end is on the wall. Solution
(6) In the given figure, HT shows the height of a tree standing vertically. From a point P, the angle of elevation of the top of the tree (that is ∠P ) measures 42° and the distance to the tree is 60 metres. Find the height of the tree.
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