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kolbaska11 [484]
4 years ago
7

Mr. and Mrs. McClurrie are debating on whether or not to remove a tall tree in their front yard. Mr. McClurrie is concerned that

the tree could fall during a storm and land on their home. Mrs. McClurrie disagrees. She thinks the tree poses no danger to their home and wants to keep the tree because of the wonderful shade it provides. They decide to estimate the height of the tree using special right triangles. They stood 25 feet from the base of the tree to create a 30° angle from the ground to the top of the tree. If their home is 20 feet from the base of the tree, could the McClurrie's wait a few more years before cutting down the tree or does it pose a risk now?
Mathematics
1 answer:
hichkok12 [17]4 years ago
4 0
Tanα=y/x

y=xtanα, we are told that x=25ft and α=30°

y=25tan30° ft

y≈14.43 ft  (to nearest hundredth of a foot)

Since their home is 20 feet from the base of the tree, it poses no risk right now. 
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I neeeeed help please
Sedbober [7]
6 = 2(1) + 2(w)

6 = 2 + 2w

Subtract 2 from both sides to isolate 2w.

4 = 2w

Divide 2 on both sides to isolate w.

2 = w
6 0
4 years ago
The sum of Eli’s age and Cecil’s age is 60. Six years ago, Eli was three times old as Cecil. Find Eli’s age now
Nesterboy [21]

Answer:

Eli's age = 42 years

Step-by-step explanation:

Let x be Eli's age and y be Cecil's age

So,

According to the statement given

x+y=60     eqn 1

Eli's age 6 years ago = x-6

Cecil's age 6 years ago = y-6

So according to the given statement

x-6 = 3(y-6)

x-6 = 3y - 18

x-3y = -18+6

x-3y= -12      eqn 2

Subtracting eqn 2 from eqn 1

x+y - (x-3y) = 60 - (-12)

x+y-x+3y = 60+12

4y = 72

y = 18

Cecil's age = 18 years

Putting y = 18 in eqn 1

x+18=60

x = 60-18

x = 42

Eli's age = 42 years ..

8 0
3 years ago
11 x 14 = ?<br> What does 11 x 14 equal?
Darina [25.2K]

Answer:

154

Step-by-step explanation:

11 * 14

= 154

5 0
3 years ago
Read 2 more answers
Which expression is the radical form of 1/5b
dimaraw [331]

Answer:

1st option, ⁵√b

Step-by-step explanation:

b⅕

= ⁵√b (radical form)

3 0
3 years ago
ZA and B are supplementary angles. If mA = (7x + 7)° and m
Wittaler [7]

Answer:

∠B = 54 °

Step-by-step explanation:

If sum of two angles add up to 180°, then the two angles are called supplementary.

   m∠A + m ∠B = 180°

7x + 7 + 4x - 14 = 180

7x + 4x + 7 - 14 = 180

        11x  - 7       = 180

                    11x = 180 + 7

                     11x = 187

                        x = 187 ÷ 11

                       \sf \boxed{x = 17^\circ}

m∠B = 4x - 14

        = 4*17 - 14

         = 68 - 14

\sf \boxed{\bf \angle B = 54^\circ}

5 0
1 year ago
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