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larisa86 [58]
3 years ago
13

A surveyor stands 75 feet from a building. He measures the angle of elevation to the top of the building at 67.5°. How tall is t

he building?
Mathematics
2 answers:
Serggg [28]3 years ago
6 0

Answer:

1694 ft

Step-by-step explanation:

The adjacent side of this right triangle is 75 feet in length, and the two given angles are 90 degrees and 67.5 degrees. Since the adjacent side is given and the opposite side is what we are looking for we can use

tan(x) = opposite/adjacent          insert the given information into the equation

tan(67.5) = opposite / 75ft           multiply both sides of the equation by 75

tan(67.5)*75 = opposite              leaving us with the target variable

once you plug that equation into a calculator you get 1694 as your nearest whole answer.

diamong [38]3 years ago
6 0

Answer:

30

Step-by-step explanation:

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r. Yi buys vegetables at a market. He purchases 6 pounds of potatoes, p, and 3 pounds of onions, n, for $18. Onions cost twice a
ad-work [718]

Answer:

  • The equation 2n = p should be 2p = n.
  • The actual cost of the onions is $3.00 per pound.
  • Potatoes cost $1.50 per pound.

Step-by-step explanation:

The wording "onions cost twice as much as potatoes" is understood to mean the cost per pound of onions (n) is equal to two times the cost per pound of potatoes (2p). Then the appropriate equation would be ...

  2p = n

Then the solution is ...

  6p +3(2p) = 18

  12p = 18

  p = 18/12 = 1.50

  n = 2p = 2(1.50) = 3.00

__

The equation should be 2p = n; onions cost $3.00 per pound; potatoes cost $1.50 per pound.

5 0
3 years ago
Work out the size of angle x <br> Next to 164 and 90
Zielflug [23.3K]

Answer:

x=106 degrees

Step-by-step explanation:

I'm going to assume that this is a circle since you didn't give it to me

So you want to add 164 and 90 together and subtract the sum by 360

360-(164+90)=106

So you want to use PEMDAS (order of operations) to solve this

  1. so do what's in the perenthesis first so 164+90=254
  2. Then you want to subtract 254 from 360 so 360-254=106

x=106 degrees

6 0
2 years ago
The amount of money it takes to fill up a gas tank varies directly with the number of gallons bought. It cost $21.87 to fill up
Kobotan [32]

I believe the answer is C. 2.43

5 0
2 years ago
What are the solutions of the equation 4x3x 24 ?​
Anna11 [10]
Check out tiger algebra you can get an answer there good luck
6 0
3 years ago
Miguel wants to bike a total of 100 miles over the course of one week in the summer. He logs how much he bikes each day in the t
bagirrra123 [75]

Answer:

Change all of the number into the same form for ease of adding.

16.3 + 14.5 + 18.75 + 12.25 + 22.6 = 84.4

100 - 84.4 = 15.6

Miguel has to ride a total of 15.6 miles on Saturday and Sunday

4 0
3 years ago
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