∠1 is an angle formed by the two lines PF and YF at point F
We can also call this angle as ∠PFY because it indicates the point F in the middle where the angle is formed
We can call this angle as ∠YFP because it also indicates the point F in the middle where the angle is formed
we can also call this angle ∠F since F is the point where the angle is formed.
Correct answer: ∠PFY, ∠YFP, ∠F
The question is find the height of the tree, given that at two points 65 feet apart on the same side of the tree and in line with it, the angles of elevaton of the top of the tree are 21° 19' and 16°20'.
1) Convert the angles to decimal form:
19' * 1°/60' = 0.32° => 21° 19' = 21.32°
20' * 1°/60' = 0.33° => 16° 20' = 16.33°
2) Deduce the trigonometric ratios from the verbal information.
You can form a triangle with
- horizontal leg x + 65 feet
- elevation angle 16.33°
- vertical leg height of the tree, h
=> trigonometric ratio: tan (16.33) = h /( x + 65) => h = (x+65) * tan(16.33)
You can form a second triangle with:
- horizontal leg x
- elevation angle 21.32°
- vertical leg height of the tree, h
=> trigonometric ratio: tan(21.32) = h / x => h = x * tan(21.32)
Now equal the two expressions for h:
(x+65)*tan(16.33) = x*tan(21.32)
=> x*tan(16.33) + 65*tan(16.33) = x*tan(21.32)
=> x*tan(21.32) - x*tan(16.33) = 65*tan(16.33)
=> x = 65*tan(16.33) / [ tan(21.32) - tan(16.33) ] = 195.73 feet
=> h = 195.73 * tan(21.32) = 76.39 feet.
Answer: 76.39 feet
Hi!
Answer:
A) 331.24
Step-by-step explanation:
To find the area, you need to multiply LxW, (Length x Width) and in this case, since it's a square, the sides are equal. Each side is 18.2 cm, so all we have to do is multiply 18.2 by 18.2, and then we get 331.24, so your answer is option A.
I hope this helps! :)
