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natulia [17]
3 years ago
12

A flagpole is at the top of a building. 300 feet from the base of the building, the angle of elevation of the top of the pole is

32 degrees and the angle of elevation of the bottom of the pole is 30 degrees. Determine the length of the flagpole (to the nearest foot).

Mathematics
1 answer:
Grace [21]3 years ago
7 0

Answer: We can use tangent here to find the length of the flagpole

First, find the length of the building + the flag pole

tan 32 = x/300

x=300tan32=187.460805573

(length of building + flagpole)

find length of building

tan 30 = x/300

x=173.205080757

subtract

187.460805573-173.205080757=14.255724816

round, length of flagpole = 14 feet

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Fudgin [204]

Answer:

A) 13

Step-by-step explanation:

If you recall the formula for finding a diagonal, or a^2 + B^2 = C^2, you will get 12^2 + 5^2 = C^2, if you solve that, you will get 13!

4 0
2 years ago
Kevin and his children went into a restaurant and he bought $31.50 worth of hotdogs and drinks. Each hotdog costs $4.50 and each
stich3 [128]

Answer:

<em>He bought 6 hotdogs and 2 drinks</em>

Step-by-step explanation:

<u>System of Equations</u>

Kevin and his children went into a restaurant and bought $31.50 worth of hotdogs and drinks. Each hotdog costs $4.50 and each drink costs $2.25.

To solve the system of equations, we'll call the variables:

x = number of hotdogs

y = number of drinks

The first condition yields the equation:

4.50x + 2.25y = 31.50          [1]

It's also known he bought 3 times as many hotdogs as drinks, thus:

x = 3y         [2}

Substituting [2] in [1]:

4.50(3y) + 2.25y = 31.50

Operating:

13.5y + 2.25y = 31.50

15.75y = 31.50

y = 31.50/15.75

y = 2

And

x = 3*2 = 6

He bought 6 hotdogs and 2 drinks

5 0
3 years ago
A 12​-foot piece of string is cut into two pieces so that the longer piece is 3 feet longer than twice the shorter piece. Find t
nikklg [1K]
Hope this helps you.

5 0
3 years ago
What is the area of the cross section if the length is 12 cm and the width is 10 cm?
VARVARA [1.3K]

Answer:

120 cm²

Step-by-step explanation:

From the question;

  • Length is 12 cm
  • Width is 10 cm

We are required  to determine the area of the cross section;

  • Note that the cross section is the plane of a solid that remains constant through the solid.
  • In this case, the cross section is a rectangle whose dimensions are 12 cm by 10 cm.

But Area of a rectangle = Length × Width

Therefore;

Area of cross section = 12 cm × 10 cm

                                   = 120 cm²

Thus, area of the cross section is 120 cm²

6 0
3 years ago
Find the value of x.
IrinaK [193]

Answer:

the answer is 49

3 0
3 years ago
Read 2 more answers
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