The man is 5.96 feet tall and the lamp is 17.88 feet high.
14 feet
Using trigonometry the angle of elevation is 77 degrees rounded to the nearest degree
By means of trigonometry if you know the angle of elevation or by comparing it with a nearby object if you know its height and shadow length.
Use the tangent angle of elevation which works out as 31.7497 degrees to four decimal places
the angle at which a shadow is formed
If you also know its shadow then you can work out the angle of elevation
14 feet
Light leaves the lamp and travels in straight lines from its point source. As you move away from the source, the angle between you and the light changes and this the length and position of your shadow changes.
Using trigonometery if you know the length of its shadow and angle of elevation
That depends on the angle of elevation which has not been given.
WARNING: Do not, under any conditions, look at the sun, directly or indirectly.The find the elevation of the sun, measure the angle that an object's shadow from the sun makes. One way to do this is with a stick in the ground. Assuming the stick is perpendicular to the ground, the ratio of the stick's length to the shadow's length is the tangent of the angle of elevation. Solve for inverse tangent, and you have the angle.
Your missing the angle of elevation or depression.
Using trigonometry the angle of elevation is 77 degrees rounded to the nearest degree
is that the entire question because you already gave the angle, meaning you now have every angle for the triangle created by the pole and shadow
Angle of elevation: tan-1(100/130) = 37.6 degrees rounded to one decimal place
It is: 27.35 degrees rounded to two decimal places
By means of trigonometry if you know the angle of elevation or by comparing it with a nearby object if you know its height and shadow length.