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Heights and Distances Practice Test 1
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© examsnet.com
Question : 21
Total: 40
A man on the top of a vertical towers observes a car moving at a uniform speed comming directly towards it. If it takes 12 minutes for the angle of depression to change from 30° to 45°, how soon after this will the car reach the tower?
14 min 20 sec.
15 min 22 sec.
16 min.
16 min. 23 sec.
Validate
Solution:
👈: Video Solution
Let AB = h m be the height of the tower; B and C are two points such that ∠ACB = 30°; ∠ADB = 45° and CD = x m (say)
From right triangle ABD,
tan
45
°
=
h
B
D
⇒
B
D
=
h
m
;
Again from right triangle ABC
ta
30
°
=
h
h
+
x
⇒
h
+
x
=
√
3
h
∴ x = (1.73 – 1)h = 0.73h
Now, 0.73h m covered in 12 min
Hence, h m covered in
12
0.73
min
≈
16
min
23
sec
© examsnet.com
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