a man standing on ground level is 1000 feet away from the base of a 350 feet tall building. Find,to the nearest degree,the measure of the angle of elevation to the top of the building from the point on the ground where the man is standing?

Question

a man standing on ground level is 1000 feet away from the base of a 350 feet tall building. Find,to the nearest degree,the measure of the angle of elevation to the top of the building from the point on the ground where the man is standing?

How do you solve for this measurement?
I don't know the angle of elevation formula.
can you help?
Thanks

Answer 1

You don't need an "angle of elevation formula"

Just make a sketch and use your basic trig ratios

I see it as
tan Ø = 350/1000 = .35
Ø = appr 19.26°

Answer 2

To find the angle of elevation from the man to the top of the building, you can use the tangent function. The formula for the angle of elevation is:

Angle of Elevation = arctan(opposite/adjacent)

In this case, the opposite side is the height of the building, which is 350 feet, and the adjacent side is the distance between the man and the base of the building, which is 1000 feet.

So the calculation would be:

Angle of Elevation = arctan(350/1000)

To find this angle, you can use a scientific calculator or trigonometric table, or if you prefer online tools, you can search for "arctangent calculator" and input the values to get the answer.

The result will be the angle of elevation to the nearest degree.

Answer 3

To solve for the angle of elevation, you can use basic trigonometry. The formula to calculate the angle of elevation is:

angle of elevation = arctan(opposite/adjacent)

In this case, the opposite side is the height of the building (350 feet) and the adjacent side is the distance from the man to the base of the building (1000 feet).

Thus, the calculation would be:

angle of elevation = arctan(350/1000)

To find the value of this angle, you can use a scientific calculator with the "arctan" or "tan^(-1)" function. Alternatively, you can use trigonometric tables.

If you are using a scientific calculator, enter "350 ÷ 1000" or "0.35" and then press the "arctan" or "tan^(-1)" button to get the angle of elevation.

The result, to the nearest degree, would be the measure of the angle of elevation from the point on the ground where the man is standing to the top of the building.