Advertisements
Advertisements
Question
If a tree 24 m high casts a shadow of 15 m, then the height of a pole that casts a shadow of 6 m under similar conditions is 9.6 m.
Options
True
False
Solution
This statement is True.
Explanation:
∵ Height of a tree = 24 m
Then, its shadow = 15 m
With the similar condition, if a pole has a shadow of length = 6 m
Let the height of pole = x m
Since, length and shadow vary directly.
Then, `24/15 = x/6`
15 × x = 24 × 6 ...[By cross-multiplication]
⇒ `x = (24 xx 6)/15`
⇒ x = 9.6 m ...[∵ Height and shadow ratio are same]
APPEARS IN
RELATED QUESTIONS
It x and y vary inversely, fill in the following blank:
| x | 16 | 32 | 8 | 128 |
| y | 4 | ... | ... | 0.25 |
Mary cycles at 6 km per hour. How long will she take to reach her Aunt’s house which is 12 km away? If she cycles at a speed of 4 km/hr, how long would she take?
10 farmers can plough a field in 21 days. Find the number of days reduced if 14 farmers ploughed the same field?
Which quantities in the previous question vary inversely with each other?
If on increasing a, b decreases in such a manner that ______ remains ______ and positive, then a and b are said to vary inversely with each other.
When the speed is kept fixed, time and distance vary inversely with each other.
Sobi types 108 words in 6 minutes. How many words would she type in half an hour?
At a particular time, the length of the shadow of Qutub Minar whose height is 72 m is 80 m. What will be the height of an electric pole, the length of whose shadow at the same time is 1000 cm?
In a hostel of 50 girls, there are food provisions for 40 days. If 30 more girls join the hostel, how long will these provisions last?
