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
jekas [21]
1 year ago
15

A surveyor found the angle of elevation from the ground to the top of the building at two locations 20 feet apart as shown below

.
2 lines are drawn from the ground to the top of a building, forming 2 triangles with the ground. The angle of elevation of the first line is 48 degrees. The second line is 20 feet away from line 1. The angle of elevation of the second line is 33 degrees. c is the length of the first line and h is the height of the building. Angle A is the angle to the left of angle 48 degrees, and angle B is the angle at the convergence of the 2 lines with the top of the building.

Which measurements are correct? Round side lengths to the nearest hundredth. Check all that apply.
m∠A = 57°
m∠B = 15°
c ≈ 10.89 ft
h ≈ 8.09 ft
h ≈ 31.28 ft
Mathematics
1 answer:
Serga [27]1 year ago
4 0

Applying the sine ratio and law of sines, the correct measurements are:

B. m∠B = 15°

E. h ≈ 31.28 ft.

<h3>What is the Sine Ratio?</h3>

Sine ratio that can be used to determine the side length of a right triangle is, sin ∅ = opposite side/hypotenuse.

Find c using the law of sines:

C = 33°

A = 180 - 48 = 132 [linear pair]

B = 180 - 33 - 132 = 15° [triangle sum theorem]

b = 20 ft

c = ?

Using the law of sines, b/sin B = c/sin C, we have:

20/sin 15 = c/sin 33

(c)(sin 15) = (20)(sin 33)

c = (20 × sin 33)/sin 15

c ≈ 42.09

Use the sine ratio to find h:

∅ = 48°

Hypotenuse = c = 42.09

Opposite = h = ?

sin 48 = h/42.09

h = (sin 48)(42.09)

h ≈ 31.28

The correct measurements are:

B. m∠B = 15°

E. h ≈ 31.28 ft

Learn more about the sine ratio on:

brainly.com/question/2920412

#SPJ1

You might be interested in
Help pleaseee anyone??
Marta_Voda [28]

It 's c my friend

okayyyyyyyyyyyyyyy

3 0
3 years ago
Read 2 more answers
What is the area of the figure?<br><br> Enter your answer in the box.<br><br> ______<br> ______ in²
Yuliya22 [10]
The area of the figure should be 112 in²
4 0
2 years ago
ANSWER ASAP PLZ Elenas bedroom door is 0.8m wide. How wide should the door be on the scale drawing? Explain how you know. (Her b
Ahat [919]

0.8 meter = 80 cm. divide by 50 is 1.6 cm.

similary all the other dimensions. it is convinient to transform it to cm and then divide by 50


7 0
3 years ago
Read 2 more answers
A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has i
bija089 [108]

Answer: \bold{a)\ P(t)=P_o\cdot e^{t\cdot ln(2.7)}}

               b) 5314

               c) ln 2.7

               d) 4.6 hrs

<u>Step-by-step explanation:</u>

P(t) = P_o\cdot e^{kt}\\\\\bullet \text{P(t) is the number of bacteria after t hours} \\\bullet P_o\text{ is the initial number of bacteria}\\\bullet \text{k is the rate of growth}\\\bullet \text{t is the time (in hours)}\\\\\\270=100\cdot e^{k(1)}\\2.7=e^k\\ln\ 2.7=\ln e^k\\\boxed{ln\ 2.7=k}\\\\\text{So the equation to find the number of bacteria is: }\boxed{P(t)=P_o\cdot e^{t\cdot ln(2.7)}}\\\\\\P(4)=100\cdot e^{4\cdot ln(2.7)}\\.\qquad =\boxed{5314}

10,000=100\cdot e^{t\cdot ln(2.7)}\\100=e^{t\cdot ln(2.7)}\\ln\ 100=ln\ e^{t\cdot ln(2.7)}\\ln\ 100=t\cdot ln(2.7)\\\dfrac{ln\ 100}{ln\ 2.7}=t\\\\\boxed{4.6=t}

4 0
3 years ago
HELP ME PLEASEEEEEEE
Tcecarenko [31]

Step-by-step explanation:

You must first add 20 to all inqualies, leaving u with 0 is greater than or equal to 2x which is also greater than or equal to 40.

Divde everything by 2 to get rid of the 2 from the x

0 divided by 2 is 0, 2x divded by 2 is x, 40 divided by 2 is 20.

Thats the answers

7 0
3 years ago
Other questions:
  • How to explain your work in division
    8·1 answer
  • 3,153,007 nearest 100,000
    11·1 answer
  • THIRTY POINTS ASAP!!!! when a number is multiplied by 6 the result is 3. find the number
    5·1 answer
  • Solving Rational and Radical Equations: Mastery Test
    5·1 answer
  • A) 240 cm 2<br> B) 270 cm 2<br> C) 318 cm 2 <br> D) 348 cm 2
    5·1 answer
  • A 1 =-4; r = - 2, n = 10
    9·2 answers
  • The average amount of money spent for lunch per person in the college cafeteria is $6.35 and the standard deviation is $2.31. Su
    9·1 answer
  • A bucket is leaking.After 3hr the bucket has leaked 3/4 of an ounce.How many ounces per hour is the bucket leaking 3/4oz-3hr= 3/
    8·1 answer
  • 3) Solve for angle x. Round to the nearest whole number. Write answer in format x = ____ degrees
    15·1 answer
  • Round 473,615 to the nearest hundred
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!