1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
TEA [102]
3 years ago
15

Suppose that you are standing 150 feet from a building and the angle of elevation to the top of the building is 42°. What is the

building's height?
Mathematics
1 answer:
weqwewe [10]3 years ago
7 0

Answer:

135.06 feet

Step-by-step explanation:

Since the side of the building makes a right triangle with the ground and you know one side length and the degree angle between you and the top of the building we can use trigonometric function to find the height of the building. So since we know one side other than the hypotenuse we can use tangent to solve. Tangent is the opposite side over the adjacent side of the known angle.

opposite side = x

adjacent side = 150 feet

angle = 42°

tan(42°) = x/150 feet

150 feet * tan(42°) = x

x = 135.06 feet

You might be interested in
1/7+2 1/8-3/2=? <br> What is the first step
Sauron [17]

According to (P)arenthesis (E)xponets (M)ultiply (D)ivide (A)dd (S)ubtract, it would be (1 / 7).


4 0
3 years ago
Miguel recently sold some farmland and bought a new plot that consists of 968 acres. Miguel calculates that this is 20% less acr
Delicious77 [7]

Answer:

1210 acres

Step-by-step explanation:

Given data

let the old farmland be x acres

new farmland = 968 acres

therefore

let us find 20% of the old farmland

=20/100x

=0.2x

Hence

968+0.2x=x

collect like terms

968=x-0.2x

968=0.8x

x= 968/0.8

x=1210 acres

6 0
3 years ago
The smith family bill at a restaurant is $56.00 how much money should mrs snitch leave as a tip if she plans to tip %15
Lemur [1.5K]

Answer:

Mrs. Snitch will leave a tip of $8.40.

Step-by-step explanation:

$8.40 is 15% 0f 56.00.

5 0
2 years ago
1) Solve the following system of equations algebraically. Give your solution as two
Bad White [126]

For this case we have the following system of equations:

y = x ^ 2 + 7x + 12\\y = 2x + 8

Equating both equations we have:

x ^ 2 + 7x + 12 = 2x + 8\\x ^ 2 + 7x-2x + 12-8 = 0\\x ^ 2 + 5x + 4 = 0

We must find the solutions, for this we factor. We look for two numbers that, when multiplied, result in 4 and when added, result in 5. These numbers are 4 and 1:

4 + 1 = 5\\4 * 1 = 4

Then, the factorized equation is of the form:

(x + 4) (x + 1) = 0

Thus, the solutions are:

x_ {1} = - 4\\x_ {2} = - 1

We look for solutions for the variable "y":

y_ {1} = 2 (-4) + 8 = -8 + 8 = 0\\y_ {2} = 2 (-1) + 8 = -2 + 8 = 6

Thus, the system solutions are given by:(x_ {1}, y_ {1}): (- 4,0)\\(x_ {2}, y_ {2}): (- 1,6)

ANswer:

(x_ {1}, y_ {1}): (- 4,0)\\(x_ {2}, y_ {2}): (- 1,6)

8 0
3 years ago
What is the value of the expression 2[4(2^3+5)]-4^2
ivolga24 [154]

Answer:

88

Step-by-step explanation:

Solve inside first

2^3=8

8+5= 13

Now multiply by 4

=52

Now by 2

=104

Now this is what we have left

=104-4^2

Make it easy by solving 4^2 which is 16.

104-16

=88

3 0
3 years ago
Other questions:
  • a guy goes in the store steals $100 from the cah register then buys $70 worth of things from the store with the same $100 dollar
    9·1 answer
  • Marta and Guadalupe are saving for a car. Marta has $500 in her bank account when Guadalupe opens a bank account with zero dolla
    15·1 answer
  • PLEASE HELP I GIVE THANKS
    14·1 answer
  • Write the equation of a line with a y intercept of (5,0) that goes through the points (2,6) and (-1,12)
    10·1 answer
  • What is the area of a 6x6x6 equilateral triangle?
    5·2 answers
  • The sum of three numbers is 27 the second number is three times the first while the third is twice the first find their average
    13·1 answer
  • What is 761,004 rounded to the nearest hundred thousand
    8·2 answers
  • 45 yd<br> 24 yd<br> What is the length of the hypotenuse?
    11·2 answers
  • CAN SOMEONE PLEASE HELP ME????
    15·2 answers
  • What is 1/4x-6=-10 step by step please help me
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!