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3 years ago

7 Lanza is a gardener.

Mathematics

1 answer:

Gennadij [26K]3 years ago

7 0

Answer:£872

Step-by-step explanation:

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Two people are standing on opposite sides of a hill. Person A makes an angle of elevation of 65° with the top of the hill and pe

8090 [49]

Answer:

Option 3. 71 ft. is the distance between B and top of the hill.

Step-by-step explanation:

Let the height of the hill is h ft and the distance of A from the hill be x ft and distance from B to hill is y.

It is given distance between A and B is 45 ft. ∠BAO = 65° and ∠ABO = 80°.

We have to find the distance of B from the top of the hill.

Now from ΔACO $tan 65 = \frac{h}{45-x} = 2.14$

$h=2.14(45-x)$

From ΔBCO $tan80 = \frac{h}{x} = 5.67$

h = 5.67x

Now h = 5.67x = 2.14(45-x)

5.67x = 96.3 - 2.14x

2.14x + 5.67x = 96.3

7.81x = 96.3

x = 96.3/7.81 = 12.33 ft

Therefore $cos80 = \frac{x}{OB}$

$0.174 = \frac{12.33}{OB}$

$OB = \frac{12.33}{.174}=70.86=71ft.$

Therefore 71 ft is the distance between B and the top of the hill.

3 0

3 years ago

Solving Systems Using Inverses

Zanzabum

Answer:

12x the second -12x -16

Step-by-step explanation:

Solving systems of equations with 3 variables is very similar

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2 years ago

What is the volume of the cone with a diameter of 9ft and a height of 15ft? Use the formula v - 5 nr?h. Use 3.14 for 5 and round

Juli2301 [7.4K]

Answer:

V≈318.09ft³

Step-by-step explanation:

V=πr2h/3

=π·4.52·15/3

≈318.08626ft³

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2 years ago

If the sum of a number and four is doubled, the result is six less than the number. Find the number

oee [108]

Answer: the number is -14

Step-by-step explanation: let the number be x

2(x+4) = x-6

2x+8 = x-6

2x-x = -6-8

x = -14

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3 years ago

Two triangles are said to be congruent, if three sides of one triangle are equal to the three corresponding sides of another tri

Natasha2012 [34]

Answer:

Side-Side-Side (SSS) Rule

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3 years ago