Question

Feom a ships masthead 50 meters height , the angle of depression of a boat is observed to be 30° find its distance from the ship

Answer 1

hi friend, refer the above picture.
hope it helps u.

Answer 2

Answer:

Concept:

Trigonometry from mathematics.

Step-by-step explanation:

Given:

Distance from the ship and ship's mast-head = 50 m

angle of depression of a boat =30 degrees.

Find:

Distance between the boat and the ship

Solution:

As per the image, lets assume that the distance to be found is 'x'

$\tan \theta=\frac{\text { opposite side }}{\text { Adjacent side }}$

we have the formula for $\tan \theta$

$\tan 30^{\circ}=\frac{x}{50 }\\\Rightarrow x=50 \cdot \tan 30^{\circ} .$

by substituting the values,

$x=28.8675 \mathrm{~m}$

So the distance between the boat and the ship is 28.8675 meters.

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