CASE STUDY QUESTION 34-Class X-Maths

CASE STUDY QUESTION 34-Class X-Maths

In a village, group of people complained for an electric fault in their area. On their complained, an electrician reached village to repair an electric fault on a pole of height 5 m. She needs to reach a point 1.3m below the top of the pole to undertake the repair work (see the adjoining figure). She used ladder, inclined at an angle of q to the horizontal such that cos q = 0.5, to reach the required position.

(i) Find the angle of elevation θ.
(a) 60⁰
(b) 30⁰
(c) 45⁰
(d) 90⁰

(ii) Find the length BD
(a) 3 m (b) 3.5 m (c) 3.7 m (d) 4 m

(iii) Find the length of the ladder. (take √3 = 1.73)
(a) 4 m (b) 4.3 m (c) 4.2 m (d) 4.28 m

(iv) How far from the foot of the pole should she place the foot of the ladder?
(a) 2 m (b) 2.14 m (c) 2.2 m (d) 2.28 m

(v) If the height of pole and distance BD is doubled, then what will be the length of the ladder.
(a) 8 m (b) 8.6 m (c) 8.56 m (d) 8.28 m