CBSE mathematics
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The ratio of the height of a tower and the length of its shadow on the ground is √3:1. What is the angle of elevation of the sun?
Let the height of the tower be x and y the length of the shadow on the ground be x:y.
The angle of elevation of the sun from the ground is θ.
We have, x:y =√3:1
Now, In ∆ABC
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Volume and surface area of a solid hemisphere are numerically equal. What is the diameter of the hemisphere?
Let the radius of the hemisphere be x units.
Volume of a hemisphere = Surface area of the hemisphere
Hence, the diameter of the hemisphere is equal to 9 units.
If the distance between the points (4, k) and (1, 0) is 5, then what can be the possible values of k?
Let the points X (4,k) and Y(1,0)
It is given that the distance XY is 5 units.
By using the distance formula,
Find how many integers between 200 and 500 are divisible by 8.
The first term between 200 and 500 divisible by 8 is 208, and the last term is 496.
So, first term (a) = 208
Common difference (d) = 8
an=a+(n−1)d=496
⇒208+(n−1)8=496
⇒(n−1)8=288
⇒n−1=36⇒n=37
Hence, there are 37 integers between 200 and 500 which are divisible by 8.
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Mock Test Series
Mock Test Series