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When the angle of elevation to the sun is 26 degrees a flagpole casts a shadow that is 82 feet long. How tall is the flag pole?
Use Tangent(Tan) function
Tan( 26) = opposite(tall( / Adjacent(shadow)
Tan(26) = opposite(tall) / 82 feet
Algebraically rearrange
opposite(tall) = 82feet*Tan(26)
NB Do NOT write as ' Tan(26)82ft ' , as it confuses the numbers under the Tan function.
Hence
Height = 82ft * 0.4877326886....
Height = 39.9940... ft ~ 40 feet.
What else can I help you with?
When is the shadow equal in length to your height?
When the angle of elevation equals 45 degrees. tan-1(1) = 45 degrees.
What is the angle of elevation of the sun when a woman 1.5 meters tall casts a shadow of 2.9 meter shadow?
It is: 27.35 degrees rounded to two decimal places
How tall is a flag pole if the shadow is 15 feet?
Besides the shadow, you also need the angle of elevation. Then the height can be found .
At 10 am on April 26 2000 a building 300 feet high casts a shadow 50 feet long What is the angle of elevation of the sun?
Angle of elevation = 300/50 = 6 tan-1(6) = 80.53767779 degrees or 800 32' 15.64''
When the angle of elevation to the sun is 52 degrees a tree casts a shadow that is 9 meters long what is the height of the tree?
It is: tan(52)*9 = 11.519 meters rounded to three decimal places
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
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°
Find the angle of elevation of the sun when a flagpole 22.5 m high casts a shadow 34 m long?
Use the tangent ratio: tan = 22.5/34 = 45/68 tan-1(45/68) = 33.49518467 degrees Angle of elevation = 33o29'42.66''
A flagpole is 25 meters long the angle of elevation of the sun is 40 degrees. how tall is the flag pole?
21metres
What is the angle of elevation of the sun if a 55 foot tall flag pole casts a 16 foot long shadow?
To find the angle of elevation of the sun, we can use the tangent function in trigonometry. The angle of elevation (θ) can be calculated using the formula: tan(θ) = opposite/adjacent. Here, the height of the flagpole (55 feet) is the opposite side, and the length of the shadow (16 feet) is the adjacent side. Thus, θ = arctan(55/16), which gives an angle of approximately 74.74 degrees.
What is the angle of elevation of the sun when a flagpole M tall cast a shadow m long?
The angle of elevation of the sun can be determined using the tangent function in trigonometry. Specifically, if the height of the flagpole is ( M ) and the length of the shadow is ( m ), the angle of elevation ( \theta ) can be calculated using the formula ( \tan(\theta) = \frac{M}{m} ). To find the angle, use ( \theta = \arctan\left(\frac{M}{m}\right) ). This angle represents how high the sun is in the sky relative to the horizontal ground.
When is the shadow equal in length to your height?
When the angle of elevation equals 45 degrees. tan-1(1) = 45 degrees.
If the angle of elevation of the sun is 53 degrees when a flagpole casts a shadow of 12 m then the height of the flagpole is?
Use the Tangent function Tan(angle) = opposite(height) / adjacent(shadow) Substituting Tan )53) = height/ 12m Algebraically rearrange height = 12m X Tan (53) NB Make sure your calculator is in 'Degree' Mode. Then type in '12' 'X' , '(' , 'Tan', '53', ')' , '=', The answer should 'pop ip' pm the screen . height = 15.92453786...m Approx. ht. ~ 15.92 m ( 2 d.p.).
How do you find the angle of elevation from the tip of the shadow of a 12 foot flag pole to the top of the pole is 60 degrees?
You can use trigonometry to find the angle of elevation. Let x be the distance from the tip of the shadow to the base of the pole and the height of the pole be y. Then, tan(60 degrees) = y/x. Given that the height of the pole is 12 feet, you can solve for x to find the angle of elevation.
What is the angle of elevation of the sun when a woman 1.5 meters tall casts a shadow of 2.9 meter shadow?
It is: 27.35 degrees rounded to two decimal places
If a tree casts a shadow of fifteen meters long how tall is the tree?
Not enough information has been given to solve this problem such as: What is the angle of elevation?
