Find Horizontal Distance

[harpazo]

I want to know if the set up is correct. This is all I need.

If the angle of inclination formed by an observer to an object, kept above a tower, is 45 degrees, find the horizontal distance between the observer and the height of the tower is 150 ft.

Set up:

Let h = horizontal distance between observer and height of tower

tan(45°) = 150/h

 

[Dr.Peterson]

The wording of the problem makes no sense; did you copy it correctly? I'd expect it to be something like this:

If the angle of inclination from an observer to an object at the top of a tower, is 45 degrees, find the horizontal distance between the observer and the base of the tower, if the height of the tower is 150 ft.​

But if that is the problem, then your work is correct.

 

[harpazo]

The wording of the problem makes no sense; did you copy it correctly? I'd expect it to be something like this:

If the angle of inclination from an observer to an object at the top of a tower, is 45 degrees, find the horizontal distance between the observer and the base of the tower, if the height of the tower is 150 ft.​

But if that is the problem, then your work is correct.

All word problems posted today were copied and pasted from different online sites.

 

[mmm4444bot]

All word problems posted today were copied and pasted from different online sites.

You have posted sloppy or unreliable exercise statements from various online sites before. As you can't tell the difference, you ought to stick to bona fide textbooks. You've been told this before; you just can't remember.

\(\;\)

 

[Deleted member 4993]

If the angle of inclination formed by an observer to an object, kept above a tower, is 45 degrees, find the horizontal distance between the observer and the height of the tower is 150 ft.

This problem statement could be a translation from a foreign problem statement.

I, personally, did not have any difficulty in mentally filling in any gaps (as Dr. P suggested) - and the problem made sense to me.