Question
Due to a cyclone, a tree is broken and makes an angle of
30º with the ground. The distance between the root and the tip of the tree that touches the ground is 15 m. What is the height of the tree?Solution
In a cyclic quadrilateral ABCD, angle A = 70 degrees and angle B = 100 degrees. What is the measure of angle C?
If sec θ + tan θ = x, what is the value of sec θ in terms of x?
The Least Common Multiple (LCM) of two prime numbers, 'a' and 'b', is given as 221, where 'a' is smaller than 'b'. Determine the value of 'b'.
The ages of two siblings, John and Mary, are in the ratio of 5:3. Five years ago, the sum of their ages was 38 years. What are their current ages?
Let the curves be y = 2x and y = |x + 1|. The area between them in the first quadrant is:
A man invested a certain amount of sum at 12.5% per annum simple interest and earned an interest of Rs.3000 after 5 years. If the same amount is investe...
Prove the identity: tan² θ + 1 = sec² θ
A man is standing 30 meters away from the foot of a tree. The angle of elevation from his eyes to the top of the tree is 60 degrees. Find the height of ...
A frustum of a cone has a lower base radius of 5 cm, an upper base radius of 3 cm, and a height of 4 cm. What is the volume of the frustum?
A and B can complete a piece of work in 12 days and 18 days, respectively. They start working together but A leaves after 6 days. How many more days wil...
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