First, draw a picture.
Draw a horizontal line that represents the ground, and another perpendicular line to it that represents the tree. Denote with B the point of the intersections of these two lines, and with C the point on the perpendicular line which is 15 ft far from the ground. So the angle B is 90 degrees. The sun will be on the right side of BC. From the point C draw a straight line in the direction of the sun, which cuts the horizontal line at the point A. So, the angle of elevation of the sun is the angle A.
A right triangle is formed, the triangle ABC, where the side opposite to angle A is 15 ft, and the adjacent side is 8 ft, so
tan A = opposite/adjacent = 15/8
So, the measure of angle A = arctan (15/8) = 62 degrees.
Angle of elevation: tan-1(100/130) = 37.6 degrees rounded to one decimal place
tan(A) = 120/100 =39.81 degrees
51.34019175 degrees or as 51o20'24.69''
It is tan-1(170/200) = 40.365 degrees to 3 decimal places
You can measure it. Or you can measure some other quantities (for examples, the lengths of the sides of a triangle), and calculate the angle using trigonometry.
36 degrees
Using trigonometry the angle of elevation is 77 degrees rounded to the nearest degree
If you mean the height of the building then it works out as 466.5063509 feet
Tan60= 25/Height. Height = 25/Tan60 = 14.43
If you also know its shadow then you can work out the angle of elevation
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°
The angle would be .4 if you rounded it to the nearest 10th degree
sin-1(1/20) = 3 degrees.
Use the tangent ratio: 23*tan(23) = 9.762920773 Answer: 10 meters to the nearest meter
51
Using trigonometery if you know the length of its shadow and angle of elevation
distance and angle of elevation are closely related as the more closer you move, the half is the angle of elevation. for e.g. if you travel 30m and cover 15m then, the angle of elevation will be half of what you started with. this can be also proved by a live example as when you have the angle of elevation as 90 degree, then the distance can be zero....