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
Archy [21]
3 years ago
14

A triangular lot has sides of 215m, 185m, and 125m. Find the measures of the angles at its corners

Mathematics
1 answer:
Vlada [557]3 years ago
3 0

Answer:

The measures of the angles at its corners are 59.1\°,35.4\°,85.5\°

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of angle A

Applying the law of cosines

185^{2}= 215^{2}+125^{2}-2(215)(125)cos(A)

2(215)(125)cos(A)= 215^{2}+125^{2}-185^{2}

cos(A)= [215^{2}+125^{2}-185^{2}]/(2(215)(125))cos(A)=0.513953

A=arccos(0.513953)=59.1\°

step 2

Find the measure of angle B

Applying the law of cosines

125^{2}= 215^{2}+185^{2}-2(215)(185)cos(B)

2(215)(185)cos(B)= 215^{2}+185^{2}-125^{2}

cos(B)= [215^{2}+185^{2}-125^{2}]/(2(215)(185))cos(B)=0.81489

B=arccos(0.81489)=35.4\°

step 3

Find the measure of angle C

Applying the law of cosines

215^{2}= 125^{2}+185^{2}-2(125)(185)cos(C)

2(125)(185)cos(C)= 125^{2}+185^{2}-215^{2}

cos(C)= [125^{2}+185^{2}-215^{2}]/(2(125)(185))cos(C)=0.0784

C=arccos(0.0784)=85.5\°

You might be interested in
Find the circumference and the area of a circle with radius 9<br> .
Eduardwww [97]
C=2(pi)r use this equation with 9 in place of r
6 0
3 years ago
PLZ HELP ME FIGURE THIS OUT
Romashka [77]

Answer:

f=2

Step-by-step explanation:

3=9-3f

3-9=-3f

-6=-3f

2=f

f=2

5 0
3 years ago
Find the better buy plz quick
Nana76 [90]
It's letter c 89 cents
4 0
3 years ago
Read 2 more answers
What is the slope of the line shown on the graph
kvasek [131]

Answer:  The best and most correct answer among the choices provided by your question is the the first choice. We can conclude from the figure you specified that the "Points are graphed at negative 3 comma 2 and negative 1 comma negative 1". I hope my answer has come to your help. God bless and have a nice day ahead.

Step-by-step explanation:

7 0
3 years ago
What is the area of each semicircle of the following composite figure?
Alina [70]
It will equal 22.5 since you need to multiple
3 0
2 years ago
Other questions:
  • Wat is the inequality of n+6&gt;-3
    5·2 answers
  • Convert this number to a percent. .0089 = _____
    14·2 answers
  • Cual seria el pi(π)
    10·1 answer
  • Helpppppppppppppppp​
    13·2 answers
  • The point (3, 18) is on the parabola y =
    5·1 answer
  • This morning, Carmen's car had 29.03 gallons of fuel. Now, 2.9 gallons are left. How much fuel did Carmen use?
    10·1 answer
  • B=3 V/h<br> I’m supposed to solve the question for V.
    15·1 answer
  • The cost of 12 pounds of apples costs $35.50. What is equation for the cost in dollars, d, for the cost of a pound, p of apples
    10·2 answers
  • I have more question then this
    13·1 answer
  • The following diagram represents all of the stages of a shrinking iceberg. The iceberg is circular, and when it started out, it
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!