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Standard XII

Mathematics

Trigonometric Ratios of Allied Angles

A flag-staff ...

Question

A flag-staff 20 m long standing on a wall 10 m high subtends an angle whose tangent is O.5 at a point on the ground. If $θ$ is the angle subtended by the wall at this point, then.

tan

θ

= 1

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tan

θ

= 1/3

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tan

θ

= 3

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tan

θ

= 1/2

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Solution

The correct options are
A tan $θ$ = 1
B tan $θ$ = 1/3
tan $α$ = 1/2, tan $θ$ = 10/x
tan ( $α$ + $θ$ ) = 30/x
$\frac{t a n α + t a n θ}{1 - t a n α . t a n θ}$ = 30/x
$x^{2}$ - 40x + 300 = 0
$x = 30$ or $10$
tan $θ$ = 1 or 1/3.

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A flag-staff 20 m long standing on a wall 10 m high subtends an angle whose tangent is O.5 at a point on the ground. If θ is the angle subtended by the wall at this point, then.

The correct options are A tan θ = 1 B tan θ = 1/3tan α = 1/2, tan θ = 10/xtan (α + θ) = 30/xtanα+tanθ1−tanα.tanθ = 30/xx2 - 40x + 300 = 0x=30 or 10tan θ = 1 or 1/3.

A flag-staff 20 m long standing on a wall 10 m high subtends an angle whose tangent is O.5 at a point on the ground. If $θ$ is the angle subtended by the wall at this point, then.

The correct options are
A tan $θ$ = 1
B tan $θ$ = 1/3
tan $α$ = 1/2, tan $θ$ = 10/x
tan ( $α$ + $θ$ ) = 30/x
$\frac{t a n α + t a n θ}{1 - t a n α . t a n θ}$ = 30/x
$x^{2}$ - 40x + 300 = 0
$x = 30$ or $10$
tan $θ$ = 1 or 1/3.