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irina1246 [14]
3 years ago
9

john wants to measure the hieght of a tree. he walks exactly 100 ft from the base of the tree and looks up. the angle from the g

round to the top of the tree is 33. how tall is the tree​
Mathematics
1 answer:
MAXImum [283]3 years ago
4 0

Answer:

The tree is 64.9 ft tall.

Step-by-step explanation:

Think of a right triangle. Draw the right triangle. The tree is a vertical side of the triangle, so it is a leg with unknown length, so call its length y. The ground, is a horizontal leg with length 100 ft. The angle from endpoint of the horizontal leg on the ground away from the tree to the top of the tree is 33º.

For the 33º angle, y is the opposite leg, and 100 ft is the adjacent leg.

The trig ratio that relates the lengths of the opposite leg to the adjacent leg is the tangent.

tan A = opp/adj

tan 33º = y/100

y = 100 * tan 33º

y = 64.9

Answer: The tree is 64.9 ft tall.

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You have 65% of your homework left to complete. What decimal and fraction represent the amount of homework you have finished?
Maurinko [17]
Percentage of homework that is left to be completed = 65%
Then
The percentage of homework that is already done = (100 - 65) percent
                                                                           = 35 percent
                                                                           = (35/100)
                                                                           = 7/20
                                                                           = 0.35
So the amount of homework that has already been completed can be represented as 7/20 or o.35. Hope this is the answer you were looking for and i have helped you in this matter. Also i hope the procedure is easy enough for you to understand.
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Pyramid a has a lateral edge of 10 and a height of 8. Pyramid B has a lateral edges of length 15 and height 12. Both A and B are
melamori03 [73]

Answer:

Pyramid A is 10*10*8/3 which is 800/3 and Pyramid B is 15*15*12/3 which is 2700/3, so the ratio would simply be 8:27 uwu

Step-by-step explanation:

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Jk=8x+6 and kL=6x+20<br> Find JL
mr Goodwill [35]
Jk=8x+6
J=(8x+6)/k

kL=6x+20
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3 years ago
If TV ≅ WV and UV ≅ XV, then which congruency theorem shows that ΔTUV ≅ ΔWXV ?
VashaNatasha [74]

Answer:

Option (2).

Step-by-step explanation:

In the figure attached,

Given : TV ≅ WV and UV ≅ XV

To prove: ΔTUV ≅ ΔWXV

                Statements                  Reasons

1). TV ≅ WV                              1). Given

2). UV ≅ XV                             2). Given

3). ∠XVW ≅ ∠TVU                  3). Reflexive property

4). ΔTUV ≅ ΔWXV                  4). SAS (Side - angle - side) property of                                                             congruence

Therefore, Option (2) will be the answer.

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3 years ago
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