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The man is 5.96 feet tall and the lamp is 17.88 feet high.
18.6 m/52.6 degrees tan= 14.2
Since the height of the tree and the length of the shadow are the same and the tree makes a 90 angle with the ground, then a 45 45 90 triangle is created. So the sun must be at a 45 degree angle below the horizontal.
It depends on the time of day because the angle of the sun will determine the shadow length
tan-1(40/30) = 53.13° Therefore, the sun is at a 53.13° angle of elevation.
Required angle has a tangent of 7.6/6.1 ie 1.249. This is 51.25 degrees.
If we assume the the flagpole makes a 90 degree angle with the ground, then the angle of elevator for the sun is 34.778°
Your missing the angle of elevation or depression.
It is: 27.35 degrees rounded to two decimal places
36 degrees
tan(A) = 120/100 =39.81 degrees
Angle of elevation: tan-1(100/130) = 37.6 degrees rounded to one decimal place
The flagpole is 15.92 metres, approx.
Not enough information has been given to solve this problem such as: What is the angle of elevation?
It is nearly 40 feet
You need more info, probably an angle of elevation or something like that. It may be 14ft tall.