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A tree 15 ft tall casts a shadow 8ft long find to the nearest degree the angle of elevation of the sun?
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.
What else can I help you with?
100 ft height tree casts a shadow that is 130 ft long. What is the angle of elevation of the sun?
Angle of elevation: tan-1(100/130) = 37.6 degrees rounded to one decimal place
A tree 100ft tall casts a shadow 120ft long.Find the angle of elevation of the sun?
tan(A) = 120/100 =39.81 degrees
What is the angle of elevation to the sun when a tree 6 m high cast a shadow of 4.8 m on level ground?
51.34019175 degrees or as 51o20'24.69''
If the side opposite a 30 degree angle in a right triangle is 12.5 meters how long is the hypotenuse rounded the answer to the nearest tenth?
The answer rounded to the nearest tenth is 25 meters.
How do you find the measure of an angle to the nearest degree?
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.
What is the angle of elevation to the nearest degree of the sun if a 54 foot flagpole casts a shadow 74 feet long?
36 degrees
What is the measure of the angle between the end of the shadow and the vertical side of a 170ft building that cast a 40 ft long shadow?
Using trigonometry the angle of elevation is 77 degrees rounded to the nearest degree
At a certain time of day the angle of elevation of the sun is 30 degree A tree has a shadow that is 25 feet long Find the height of the tree to the nearest foot?
Tan60= 25/Height. Height = 25/Tan60 = 14.43
When the angle of elevation on of the sun is 75 degree a building casts shadow of 125 feet how tall is the degree?
If you mean the height of the building then it works out as 466.5063509 feet
Suppose you know the height of a flagpole on the beach of the Chesapeake Bay and that you know the length of its shadow How do you calculate the angle of elevation?
If you also know its shadow then you can work out the angle of elevation
what is the angle of elevation of the sun when a flagpole 22.5 m high casts a shadow 32.4 m long?
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°
What is the angle rounded to the nearest tenth of a degree 0.3880?
The angle would be .4 if you rounded it to the nearest 10th degree
What is the measure of the angle of elevation of the ramp to the nearest degree of a 20 ft board by 1ft ramp?
sin-1(1/20) = 3 degrees.
A tree casts a shadow of 23 meters when the angle of elevation of the sun is 23 Find the height of tree to the nearest meter?
Use the tangent ratio: 23*tan(23) = 9.762920773 Answer: 10 meters to the nearest meter
A building that is 115 feet tall casts a shadow that is 190 feet long Determine the angle at which the rays of the sun hit the ground to the nearest degree?
51
The ratio of a rod and its shadow is1 1 root 3 what is its angle of elevation?
To find the angle of elevation of a rod given the ratio of its height to the length of its shadow as (1 : \sqrt{3}), we can use the tangent function. The tangent of the angle of elevation ( \theta ) is equal to the ratio of the opposite side (height of the rod) to the adjacent side (length of the shadow). Therefore, ( \tan(\theta) = \frac{1}{\sqrt{3}} ). This corresponds to an angle of ( 30^\circ ).
How can you find the height of tree?
Using trigonometery if you know the length of its shadow and angle of elevation
