Aptitude - Height and Distance - Discussion

Discussion Forum : Height and Distance - General Questions (Q.No. 5)
5.
From a point P on a level ground, the angle of elevation of the top tower is 30°. If the tower is 100 m high, the distance of point P from the foot of the tower is:
149 m
156 m
173 m
200 m
Answer: Option
Explanation:

Let AB be the tower.

Then, APB = 30° and AB = 100 m.

AB = tan 30° = 1
AP 3

AP = (AB x 3) m
= 1003 m
= (100 x 1.73) m
= 173 m.

Discussion:
30 comments Page 2 of 3.

Sanjau said:   8 years ago
√ 3 value is 1.73 and 100 x 1.73=173.

Vishakha said:   1 week ago
If we apply sin30 in trigonometry, then It is 200.

Mounika said:   5 years ago
Why tan only? Please explain.

Priya said:   7 years ago
Thank you so much @Sarthak.

You explained it neat and clear.

Vansh giroh said:   7 years ago
Here AP needs to find so using the AB value Tan 30 is taken and root 3 is 1.73. So the answer will be 173m.

SriPoornima.V said:   1 decade ago
Here AP needs to be find so using the AB value Tan 30 is taken and Root 3 is 1.73 so the answer will be 173m.

Yashoda suji said:   8 years ago
Can't we use sin here?

Vaibhav shelar said:   8 years ago
No, according to 30-60-90 theorem rule answer must be 100√(3).

Krishi said:   8 years ago
@Sankar,

In sin there is perpendicular and hypotenuse.

But we have to find base we cannot use cos also because hypotenuse is not given. Remaining tan which is used.

Sankar said:   9 years ago
I think there is a mistake in the answer. Here really we have to use sin as what we need to find out is adjacent side.


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