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
34kurt
3 years ago
6

Set up a right triangle model for this problem and solve by using a calculator. Follow the models above,

Mathematics
1 answer:
irakobra [83]3 years ago
8 0

<em><u>Question:</u></em>

Set up a right triangle model for this problem and solve by using a calculator. Follow the models above,

A photographer stands 60 yards from the base of a lighthouse and observes that the angle between the  ground and the top of the lighthouse is 41° How tall is the lighthouse?

<em><u>Answer:</u></em>

The height of lighthouse is 52.2 yards

<em><u>Solution:</u></em>

Given that photographer stands 60 yards from the base of a lighthouse and observes that the angle between the  ground and the top of the lighthouse is 41 degree

The diagram is attached below

Consider a right angled triangle ABC

AB is the height of the lighthouse

BC is the distance between the base of a lighthouse and Photographer

As per given, BC = 60 yards

Angle between the  ground and the top of the lighthouse is 41 degree

Angle ACB = 41 degree

To find: height of lighthouse i.e AB = ?

We know that,

tan(\angle ACB) = \frac{Perpendicular}{Base}

Here Base is BC and perpendicular is AB

\tan 41^{\circ}=\frac{A B}{B C}

Substituting the values,

\begin{aligned}&\tan 41^{\circ}=\frac{A B}{60}\\\\&0.8692=\frac{A B}{60}\\\\&A B=0.8692 \times 60=52.157 \approx 52.2\end{aligned}

Thus the height of lighthouse is 52.2 yards

You might be interested in
Tree times the sum of ten and a number is 25. What is the number? <br><br> (Fraction)
ella [17]

Answer:

Step-by-step explanation:

3(10+n) = 25

30 +3n =25

30-30 and 25-30=

3n=-5

3/3 and 5/-3

6 0
3 years ago
Read 2 more answers
Number when multiplied by 0.5?<br> Which number produces a rational
Vladimir79 [104]
I don’t really know what your asking but anything multiplied by 0.5 or .5 is going to be half of that number
Example 2•.5=1

I don’t know if this is what you were asking, but I hope this helps
6 0
2 years ago
Fatima’s softball practice starts at 9:30 a.m. Practice lasts for 1 hour and 10 minutes.
ki77a [65]
10:40 am.

9:30 plus 1 hour = 10:30 plus ten minutes= 10:40
3 0
2 years ago
Read 2 more answers
Find m∠MON<br> I have a hard time with theses
fredd [130]

Answer:

m∠MON = 15°

Step-by-step explanation:

The given parameters are;

m∠LON = 77°

m∠LOM = 9·x + 44°

m∠MON = 6·x + 3°

By angle addition postulate, we have;

m∠LON = m∠LOM + m∠MON

Therefore, by substituting the known values, we have;

∴ 77° = 9·x + 44° + 6·x + 3°

77° = 9·x + 44° + 6·x + 3° = 15·x + 47°

77° = 15·x + 47°

77° - 47° = 15·x

15·x = 77° - 47° = 30°

15·x = 30°

x = 30°/15 = 2°

x = 2°

Given that m∠MON = 6·x + 3° and x = 2°, we have;

m∠MON = 6 × 2° + 3° = 12° + 3° = 15°

m∠MON = 15°.

3 0
3 years ago
4. Sarah had 731 Matchbox cars. She
devlian [24]

Answer:

  82 boxes

Step-by-step explanation:

731/9 = 81 2/9

If Sarah uses 81 boxes, she will have 2 cars left over.

Sarah needs 82 boxes to hold all of her cars.

5 0
2 years ago
Other questions:
  • what is the surface area of a square pyramid if the base has an area of 16cm2 and lateral faces have a slant height of 12cm?
    5·2 answers
  • [8×+32]=64 i need help
    10·2 answers
  • Jane is making a suit which requires 2 5/8 yards for the jacket and 1 3/4 yards for the skirt. What’s the total amount of materi
    9·1 answer
  • If events X and Y are independent, what must be true? Check all that apply.
    6·1 answer
  • Jimmy worked 6.75 hours at $8.75 per hour. What does Jimmy earn?
    14·1 answer
  • Alanah is picking up two friends to go to a concert. She drives from her house to pick up Mia, then she drives to pick up Teresa
    11·2 answers
  • 3.48 with 8 % tax would equal please help so confused how to do
    13·1 answer
  • Describe the following set as either finite or infinite.
    8·1 answer
  • 5m – 8 = 3m + 8 for m
    13·1 answer
  • lucy has 4 less quarters then nicklesand 3 more dimes then nickels; she has a total of 35 coins. How many of each coind does she
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!