400000

JEE Mains Help › Trignometry questions › 400000

A vertical pole consists of two portions,the lower being 1/3rd of the whole.If the upper portion subtends an angle arctan(1/2) at a point in a horizontal plane through the foot of the plane and distance 40ft from it,then the height of the pole is ________

This sum is easy,but i couldn't understand its geometry !!!!!!!!

#Mathematics #Trignometry

UP 0 DOWN 0 1 7
Post on FacebookPost anonymously?

7 Answers

1

Pavithra Ramamoorthy ·2008-12-20 05:06:46

NO TENSION............

UP 0 DOWN 0
Post on FacebookPost anonymously?

11

Anirudh Narayanan ·2008-12-20 05:11:49

SEE WHETHER D SKETCH IS RIT......

UP 0 DOWN 0
Post on FacebookPost anonymously?

62

Lokesh Verma ·2008-12-20 05:13:42

Good work aragon :)

UP 0 DOWN 0
Post on FacebookPost anonymously?

11

Anirudh Narayanan ·2008-12-20 05:16:54

Thanx Nishant bhaiyyah. How 2 proceed after this?

P.S:
Aragorn please :)

UP 0 DOWN 0
Post on FacebookPost anonymously?

11

Anirudh Narayanan ·2008-12-20 06:10:22

x/40 = tan[Î¸+arctan(1/2)]

x/120= tanÎ¸

Will you get answer if you solve these equations?

UP 0 DOWN 0
Post on FacebookPost anonymously?

11

Anirudh Narayanan ·2008-12-20 07:32:29

Answer anyone?

UP 0 DOWN 0
Post on FacebookPost anonymously?

62

Lokesh Verma ·2008-12-20 11:57:27

x/40 = tan[Î¸+arctan(1/2)]

x/40 = ( tan Î¸ + 1/2 )/ (1-1/2 tan Î¸)

x/120= tanÎ¸

Substitute tan Î¸ above!

x/40 = (x/120 + 1/2) / (1-1/2.x/120)

this is a quadratic in x... just solve it :)

UP 0 DOWN 0
Post on FacebookPost anonymously?

Your Answer

Basic Integral Calculus Operators Symbols Matrix Cases

√ √ || {} [] () → ~ ^ x x x → → ln log lg lim lim cos sin tan cot arcsin arccos arctan

∫ ∫ ∫ ∫ ∫ ∬ ∬ ∬ ∬ ∬ ∭ ∭ ∭ ∭ ∭ ⨌ ⨌ ⨌ ⨌ ⨌

∑ ∑ ∑ ∑ ∑ ∮ ∮ ∮ ∮ ∮ ∏ ∏ ∏ ∏ ∏ ∐ ∐ ∐ ∐ ∐

+ - × ÷ ± ∓ = ∪ ∩ ≠ ∼ ≈ ∅ ∀ ∃ ∈ ∋ ∝ ≤ ≥ ≃ ≅ ≡ < > ≪ ≫ ⊂ ∉ ⊃ ⊆ ⊇ ⇒ ⇐ ⇔ ⇒ ⇐ ⇔ ⇑ ⇓ ⇕ → ← ↔ → ← ↔ ↑ ↓ ↕ ↖ ↗ ↘ ↙ ↪ ↩ ⇀ ↼ ⇁ ↽

° ∂ ∞ α β γ δ θ λ μ ν ξ π ρ σ φ ω ε ƒ κ τ υ Γ Δ Λ Σ Π Ω