# Tag Archives: Trigonometry & Height and Distances

Trigonometry is all about triangles or to be more precise the relationship between the angles and sides of a triangle (right-angled triangle). In this article,… Read More
Given an integer C, the task is to find all possible pairs (A, B) in range [1, C) such that:  A2 + B2 = C2… Read More
A man is watching from the top of a tower a boat speeding away from the tower. The boat makes an angle of depression of… Read More
A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30° with the man’s… Read More
From a point P on a level ground, the angle of elevation of the top of a tower is 30 degrees. If the tower is… Read More
The angle of elevation of the sun, when the length of the shadow of a tree is √3 times the height of the tree, is:… Read More
The least value of 2sin2θ + 3cos2θ (A) 1/3 (B) 4/3 (C) 2 (D) 3/4 Answer: (C) Explanation: = 2sin2θ + 2cos2θ + cos2θ =2(sin2θ… Read More
Find the Value of tan60o + tan120o? (A) 1/2 (B) 0 (C) 2 (D) 2/3 Answer: (B) Explanation: =tan(60) + tan(180-120) =tan(60)+(-tan(60)) {because in second… Read More
If tan (x+y) tan (x-y) = 1, then find tan (2x/3)? (A) 2/√3 (B) 1/2 (C) 1/√2 (D) 1/√3 Answer: (D) Explanation: tanA = cotB,… Read More
What is minimum value of Sinθ + cosθ ? (A) -2 (B) 1/2 (C) -1 (D) -√2 Answer: (D) Explanation: Minimum value = √(a2 –… Read More
What is the maximum value of 5 Sinθ + 12 cosθ? (A) 16 (B) 13 (C) 10 (D) 12 Answer: (B) Explanation: Maximum value =… Read More