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
MA_775_DIABLO [31]
3 years ago
15

a surveyor measures the distance to the two landmarks as shown in the diagram what is the distance d. between the landmarks​

Mathematics
1 answer:
Inessa [10]3 years ago
8 0
<h3>The distance between two landmarks is 123 meters</h3>

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

We have to find the distance between two landmarks

<em><u>Use the law of cosines</u></em>

The third side of a triangle can be found when we know two sides and the angle between them

c^2 = a^2 + b^2 - 2ab\ cos c

Here, angle between 90 meters and 130 meters is 65 degrees

From figure,

a = 90

b = 130

c = d

Therefore,

d^2 = 90^2 + 130^2 - 2(90)(130)\ cos 65\\\\d^2 = 8100 + 16900 - 23400\ cos\ 65\\\\d^2 = 25000 - 23400 \times 0.4226\\\\d^2 = 25000 - 9889.267\\\\d^2 = 15110.73\\\\d = 122.92\\\\d \approx 123

Thus, the distance between two landmarks is 123 meters

You might be interested in
66 is 75% of what number?
Anon25 [30]
88 is what it is 75% of

6 0
3 years ago
Read 2 more answers
What is the range of Y = l0g8X?
maw [93]

Step-by-step explanation:

all real numbers not equal to 0

all real numbers

5 0
2 years ago
Read 2 more answers
We have 8 yards of wraping paper. if we use 2 feet for each present how many present can we wrap
kirill [66]
We can wrap 12 presents. multiply the number of yards by the feet.
3 0
3 years ago
Read 2 more answers
You invest $500.00 in a savings account that gives 4.9% annual interest, compounded quarterly. How much money will you have at t
QveST [7]
I like it is letter d

6 0
3 years ago
If (5^2)p = 5^12, what is the value of p?
mr Goodwill [35]
Divide both sides by 5^2 (which is 25). So p = (5^12)/25. I can't be bothered to plug in into a calculator but be my guest.
3 0
3 years ago
Other questions:
  • Write an expression for the situation <br><br>Number of minutes in h hours
    5·1 answer
  • How much heavier is a 9 1/8 pound box than a 2 5/6 pound box?
    12·1 answer
  • Evaluate u + xy, for u = 18, x = 10, and y = 8.
    10·1 answer
  • A hungry fish is about to have lunch at speeds shown. Assume the hungry fish has a mass five times the mass of the small fish. I
    6·1 answer
  • n a group of 40 people, 10 people are healthy. The 30 unhealthy people have either high blood pressure, high cholesterol, or bot
    5·1 answer
  • PLEASE HELP I ADDED A PIC TOO!
    13·1 answer
  • You run 1/12 mile in 1/2 minute. How many miles per hour do you run?
    6·1 answer
  • Ummm can u plz tell me what u put in these boxes and um answer 4 pls ​
    15·1 answer
  • PLZ HELP URGENT!!! DUE TOMORROW
    10·1 answer
  • A circle has center at C(-10,7). A point on the circle is P(-12, 15). What is the
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!