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Alex_Xolod [135]
2 years ago
13

A person can see the top of a building at an angle of 65°. The person is standing 50 ft away from the building and has an eye le

vel of 5 ft. How tall is the building to the nearest tenth of a foot?

Mathematics
1 answer:
Leviafan [203]2 years ago
5 0

Answer:

112.2ft

Step-by-step explanation:

As can be seen in the attached diagram, The top of the building is at C.

The distance from the man to the building is |BD| and the height of the man is |AB| where his eye level is at B.

We are required to find the height |CE| of the building.

Now |AB|=|DE|, (opposite sides of a rectangle).

Tan 65° = |CD|/59

|CD|=59 XTan65°=107.23

The height of the building |CE|=|CD|+|DE|=107.23+5=112.23ft

The height=112.2ft ( to the nearest tenth)

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The hypotenuse of a right triangle is 14 centimeters long. One of the legs of the triangle is 6 centimeters. What is the length
BartSMP [9]

Answer: 12.65 cm

Step-by-step explanation:

Use the Pythagoras theorem,

a^2 + b^2= c^2

You are given the hypotenuse , which is c and another leg which is either a or b, does not particularly matter- rearrange to find the missing length

c^2 - b^2 = a^2

14^2 - 6^2 = 160

Square root 160 to find the missing length

12.65

Hope this helped :)

5 0
3 years ago
HEY GUYS HELP, ILL MARK YOU BRAINLY !
Serjik [45]
Y=40x+100 and the second question is y=1.69x
5 0
2 years ago
A rancher plans to make 4 identical and adjacent rectangular pens against a barn (see figure below), each with an area of 100 m^
Tasya [4]

Answer:

10 by 10 meters

Step-by-step explanation:

In calculus terms, you can use the formula for the perimeter which is 2l + 2w, and the area l × w.

Then since the area is 100

l × w = 100. So w = 100/l

Then substitute this into the perimeter formula.

w = 100/l → 2l + 2(w) = 2l + 2(100/l) = 2l + 200/l.

Then take the derivative d/dx [take the derivative of a quantity with respect to x], by using a simpler method known as the power rule:

d/dx[x^n] = nx^n-1

so p = 2l + 200/l becomes p' = 2 - 200/l^2

Since the derivative of a constant is 0, to solve for l, set p' to 0

0 = 2 - 200/l^2 → -200/l^2 = -2 → 200/l^2 = 2 → 2l^2 = 200 → l^2 = 100 → l = √100, l = 10.

Now that we know the length is 10, We can substitute the length in the original equation to find the width.

l = 10 → w = 100/l → w = 100/10, w = 10.

Therefore the perimeter of each rectangular pen is 40, with a length of 10 and width of 10.

If you want to do this algebraicly, there are more steps involved

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2 years ago
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So A lady walks into the bank I work at and she comes up to the counter and asks me to check her balance so I check her balance.........I push her over ;)
7 0
3 years ago
Read 2 more answers
Solve x 2 + 9x + 8 = 0 by completing the square. What are the solutions?
vivado [14]

x^2+9x+8=0

 (x+1)(x+8)=0

x+1=0

x=-1

x+8 = 0

x=-8


 solutions are -1 and -8

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3 years ago
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