Question
The angle of elevation of the top of a building from the
foot of a tower is 30° and the angle of elevation of the top of the tower from the foot of the building is 60°. If the height of the tower is 42 m, what is the height of the building?ÂSolution
Let AB and CD denote the tower and the building respectively. In △ABC, tan 60° = AB/BC ⇒ √3 = 42/BC ⇒ BC = 42/√3 m In △BCD, tan 30° = CD/BC ⇒ 1/√3 = CD/(42/√3) ⇒ CD = 14 m ⇒ h = 14 m
Solve the following equation.
143 + 14.3 + 1.43 + 0.143 + 0.0143 =?
(?) x 3 + 68 = √9025
33 + ? = 40% of 1420
What is the value of 143 + 163 + 183 + … + 303?
(54/6) × 5 + 12 × (17/2) = ?% of 700
- What will come in place of (?) in the given expression.
(0.2 × 0.5) + (0.3 × 0.4) = ? (8.4 × 6.5 ×2.52 )/(5.04 ×3.25 ×2.1) = ?
If (i) P is taller than Q, (ii) R is shorter than P, (iii) S is taller than T but shorter than Q, then who among them is the tallest?
(6 × √361) × 2.5 = ? + 125
(√576 + √256)% of 1800 = ?