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
Olin [163]
2 years ago
13

A surveyer wants to find the distance from points A and B and to an inaccessible point C. These three points form a triangle. Be

cause points he can be cited from both A and B, he knows that the measure of angle a equals 65°. Also, it is known that the distance from A-to-C is 90 m and the distance from B to C is 120 m. What is the measure of angle B
Mathematics
1 answer:
Vinil7 [7]2 years ago
7 0

Answer:

42.8°

Step-by-step explanation:

The sine rule states that for a triangle with lengths of a, b and c and the corresponding angles which are opposite the sides as A, B and C, then the following rule holds:

\frac{a}{sin(A)}=\frac{b}{sin(B)}  =\frac{c}{sin(C)}

Given that points A, B and C forms a triangle with angle A = 65°, distance from A-to-C = 90 m and the distance from B to C = 120 m.

The distance from A to C is the side opposite to angle B. Hence let b =  distance from A to C = 90 m.

The distance from B to C is the side opposite to angle A. Hence let a =  distance from B to C = 120 m.

Therefore using sine rule:

\frac{a}{sin(A)}=\frac{b}{sin(B)}  \\\\\frac{120}{sin(65)}=\frac{90}{sin(B)}  \\\\sin(B)=\frac{90*sin(65)}{120} \\\\sin(B) =0.6797\\\\B=sin^{-1}(0.6797)\\\\B=42.8^o

You might be interested in
Select the best definitions of population and sample. A sample is the group from whom information is being collected. A populati
Elena L [17]

Answer:

A population is defined as the data set which consists of all members of a specified group and the sample contains a part or a subset of a population.

For example : all the students of a school are population. But out of all, how many students play sports is a sample.

Hence, the answer is - A population is the complete group under study. A sample is the sub-collection of members of the population from which data are actually collected.

4 0
3 years ago
Syria has the 5 apps on her phone wich is 3 less than twice the amount the Khary has. How many apps does Khary have?
jek_recluse [69]
She has 7 apps on her phone
3 0
3 years ago
A salesperson's commission rate is 11%. If the commission on the sales is $325, what is the amount of sales?
Vinil7 [7]

Answer:

$2,954.55

Step-by-step explanation:

  1. 11%*x=325
  2. 325*100=11x
  3. 32500/11=2,954.55
6 0
2 years ago
Find the output, k, when the input, t, is -7.<br><br> k= 10t - 19<br><br> k=
aniked [119]

Answer:

<em>Here</em><em> </em><em>i</em><em>s</em><em> </em><em>the</em><em> </em><em>answer </em><em>.</em><em> </em><em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em>.</em>

3 0
2 years ago
Definition of transposition of formulae​
neonofarm [45]

The process of expressing w in terms of A and l is called transposition or changing the subject of the formula. The methods used to change the subject of the formula are the same as those used for solving equations.
6 0
2 years ago
Other questions:
  • There is 16 pink stripes and green stripes. Find the ratio o pink stripes to green stripes
    14·1 answer
  • What is the measure of angle CAE??
    5·1 answer
  • Four more than twice a number is 8
    8·1 answer
  • From car models to colors
    12·1 answer
  • Write an equation with an exponent for 39mm=0.039
    9·1 answer
  • Yesterday, there were 45 problems assigned for math homework. Malia got 36 out of 45
    10·2 answers
  • The temperature at 8:00 am was -10ºF. It rose 15º by noon. At 7:00 pm, the temperature dropped 25º. What was the temperature at
    9·1 answer
  • Look at the chartttttttttt
    11·1 answer
  • Question 18. Suppose we have a piece of cardboard that is 40 cm by 25 cm.
    12·1 answer
  • Sanford's gym coach made him run 20 laps on a 400 m track. How many kilometers did he run? How many miles?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!