Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Our platform offers a seamless experience for finding reliable answers from a network of experienced professionals. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.
Sagot :
If you draw a picture you can see that the kite, Anna and Emily form a right triangle.
so you can use the pythagorean theorem to find the answer.
[tex]35 ^{2} + b^{2} = 50^{2}[/tex]
1,225 + b^{2} = 2,500
b^{2} = 1,275
b = 35.7 meters
so you can use the pythagorean theorem to find the answer.
[tex]35 ^{2} + b^{2} = 50^{2}[/tex]
1,225 + b^{2} = 2,500
b^{2} = 1,275
b = 35.7 meters
Answer:
The kite is 35.71 m high from Emily.
Step-by-step explanation:
Supposing that the kite's string is a straight line, Anna, Emily and the kite form a right triangle (see the figure below).
A right triangle follows the Pythagoras' theorem (or Pythagorean theorem):
[tex]\\ a^{2} + b^{2} = c^{2}[/tex], where c is the hypotenuse and a and b, the other two sides (catheti).
Since the opposite side to the right angle (90°) is the hypotenuse, in this case, c = 50 m, and we know that d = 35 m (the distance from Anna to Emily, or vice versa), we can rewrite the equation for this problem as follows (see figure below):
[tex]\\ d^{2} + h^{2} = (50m)^{2}[/tex], or
[tex]\\ (35m)^{2} + h^{2} = (50m)^{2}[/tex]
Likewise, the height h is the unknown value or the height of the kite from Emily (or one leg of the right triangle).
[tex]\\ h^{2} = (50m)^{2} - (35m)^{2}[/tex].
[tex]\\ h = \sqrt{(50m)^{2} - (35m)^{2}}[/tex], which is approximately:
[tex]\\ h = 35.70714 [/tex]m or [tex]\\ h = 35.71 [/tex]m.
That is, the kite is approximately 35.71 m high above Emily.
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.
