Question

if a tower of height 'h' is observed from a point with a distance'd' and angle theta then express the relation between h d theta​

Answer 1

Answer:

tantheta =h/d

Step-by-step explanation:

tower is the opposite side and the distance is adjacent side

so tan theta = opp side /adj side

=h/d

Answer 2

The relation would be $\tan \theta =\dfrac{h}{d}$

Step-by-step explanation:

Given,

Distance of tower from the point = d unit,

Height of the tower = h units,

Angle of elevation from the point to the tower = $\theta$

∵ the tower should be perpendicular with respect to the ground,

Thus, by the trigonometric ratio,

$\tan \theta =\frac{\text{Perpendicular}}{\text{Base}}$

$\tan \theta =\frac{h}{d}$

Which is the required relation.

#Learn more:

A 20 m long vertical pole casts a shadow 10 long on the ground. at the same time a tower casts a shadow 50 m long on the ground. find the height of the tower

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