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The angle of elevation of the top of a h...

The angle of elevation of the top of a hill from a point is `alpha`. After walking b metres towards the top up a slope inclined at an angle `beta` to the horizontal,the angle of elevation of the top becomes `gamma`.Then the height of the hill is :

A

`(b sin alpha sin (gamma-beta))/ (sin (gamma-alpha))`

B

`(b sin alpha sin (gamma-alpha))/ (sin (gamma-beta))`

C

`(b sin (gamma-beta))/ (sin (gamma-alpha))`

D

`(b sin (gamma-beta))/ (sin alpha sin (gamma-alpha))`

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MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. If y = sec^2 theta+ cos^2 theta, theta ne 0, then :

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  2. The sides BC, CA and AB of a triangle ABC are of lengths a, b and c re...

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  3. The angle of elevation of the top of a hill from a point is alpha. Aft...

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  4. If tan(x/2)=cosec x-sin x, then find the value of tan^(2) (x/2).

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  5. Consider the system of equations in x, y, z as x sin 3 theta-y + z=0, ...

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  6. Prove that cos^(4) .(pi)/(8) + cos^(4).(3pi)/(8)+cos^(4).(5pi)/(8)+c...

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  7. Prove that : "tan"(pi/(4)+1/(2)"cos"^(-1)a/(b))+"tan"(pi/(4)-1/(2)"cos...

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  8. The equation sqrt3 sinx+cos x=4 has:

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  9. The value of cos 15^@ cos 7 1^@/2 sin 7 1^@/2 is:

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  10. The most general values of 'x' for which sin x + cos x =underset( a i...

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  11. If a= 2 sqrt2, b= 6, A = 45^@, then:

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  12. In triangle ABC, if sin Asin B=(ab)/c^2, then the triangle is :

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  13. The value of : (1+cos frac (pi)(6)) (1+cos frac (pi)(3))(1+cos frac (2...

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  14. P=1/2 sin^2 theta+1/3 cos^2 theta, then :

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  15. The smallest value of 5 cos theta+ 12 is :

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  16. Smallest form of 2/(sqrt(2+sqrt(2+sqrt(2+2 cos4x)))) is :

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  17. If 5 cos 2 theta +2 cos^2 (theta/2)+1=0, when (0 ltthetalt pi), then t...

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  18. If aa n db are positive quantities such that a > b , the minimum value...

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  19. If A+B=45^@ then then (cot A- 1) (cot B- 1) is equal to :

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  20. The solution of the equation : [sin x + cos x]^(1+sin2x)=2, -pi lexle ...

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