Sign In
Not register? Register Now!
Essay Available:
You are here: HomeMath ProblemMathematics & Economics
Pages:
1 page/≈275 words
Sources:
No Sources
Level:
APA
Subject:
Mathematics & Economics
Type:
Math Problem
Language:
English (U.S.)
Document:
MS Word
Date:
Total cost:
$ 4.32
Topic:

Trigonometry Problem (Math Problem Sample)

Instructions:

Solve for α in the oblique triangle ABC; AB = 30; AC = 15 and angle B = 20°
Solve for α in the oblique triangle ABC; AB = 30; AC = 15 and angle B = 20°

Given: b = 15, c = 30 and ∠ B = 20°
A + B + C = 180
A + 20 + C = 180
A + C = 160
From Sine rule
a/(Sin A)=b/(Sin B)=c/(Sin C)
15/(Sin 20)=30/(Sin C)
Sin C=2Sin 20
Sin C = 2Sin 30
= 0.6840
C = Sin-1 0.6840
= 43.16
A + C = 160
A = 160 – 43.16
= 116.84
From Cosine rule
a^2=b^2+c^2-2bcCosA
a^2=30^2+15^2-2x30x15Cos116.84
a^2=1125-(-406.35)
a^2=1531.35
a=39.13
Verifying the value of a using the sine rule
a/(Sin A)=b/(Sin B)
a/(Sin 116.84)=15/(Sin 20)
a=(15 ×Sin116.84)/(Sin 20)
a=39.13

source..
Content:


Trigonometric Function
Solving a Triangle
Name
Institution
Course
Date
Solve for α in the oblique triangle ABC; AB = 30; AC = 15 and angle B = 20°
Given: b = 15, c = 30 and ∠ B = 20°
A + B + C = 180
A + 20 + C = 180
A + C = 160
From Sine rule
aSin A=bSin B=cSin C
15Sin 20=30Sin C
Sin C=2Sin 20
Sin C = 2Sin 30
= 0.6840
C = Sin-1 0.6840
= 43.16
A + C = 160
A = 160 – 43.16
= 116.84
From Cosine rule
a2=b2+c2

...
Get the Whole Paper!
Not exactly what you need?
Do you need a custom essay? Order right now:

Other Topics:

  • Algebra Word problems: Find the Distance, Speed and Time
    Description: If Noelle travels 5 mph faster than Vivian, he must have covered more distance than Vivian. Find the extra distance covered by Noelle. Distance=Speed x time =5mphx 8hrs =40 miles Noelle has covered 40 miles more than Vivian. Find the distance covered by both Vivian and Noelle....
    1 page/≈275 words| No Sources | APA | Mathematics & Economics | Math Problem |
  • Hypothesis Testing: Cell Batteries
    Description: In a sample of 200 residents of Georgetown country, 120 reported they believe that country real estate taxes were too high. Developed a 95% confidence interval that proportioned of residents who believe the tax rate is too high...
    5 pages/≈1375 words| 2 Sources | APA | Mathematics & Economics | Math Problem |
  • Computation of a Mathematical Equation
    Description: Factoring method x2-2x-15=0 Find the product and the sum of the equation Product=1×-15=-15 and sum=-2 Expand the equation x2-5x+3x-15=0 Factorise x+3x-5=0 Set each equation equal to zero x+3=0 or x-5=0 x=-3 or 5 Quadratic methodax2+bx+c=0 x=-b±b2-4ac2a x2-2x-15=0 Apply the quadratic formula...
    6 pages/≈1650 words| 3 Sources | APA | Mathematics & Economics | Math Problem |
Need a Custom Essay Written?
First time 15% Discount!