vidalmari6p99qfk
Answered

Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Discover solutions to your questions from experienced professionals across multiple fields on our comprehensive Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

21) Find the measure of angle A. of the oblique triangle ABC if side ABC is 3 ft, side BC is 2ft, and the included angle B is 30 degrees

Show steps

21 Find The Measure Of Angle A Of The Oblique Triangle ABC If Side ABC Is 3 Ft Side BC Is 2ft And The Included Angle B Is 30 Degrees Show Steps class=

Sagot :

ashish4112119

Answer:

A. 38.2

Step-by-step explanation:

a=2 c=3 B=30

first use law of cosines

to get the third side

3rd side is 1.61

then use law of sines

to get the angle in question

law of cosines is square root of (c=a2+b2﹣2abcosB)

square root of (2^2+3^2﹣2·2·3·cos(30°))≈1.61484

then law of sines

law of sines a=b×(sinα/sinβ)

sin-1 means arc sine

β=sin-1(sinα·b/a)

sin-1(sin(30°)·2/1.61) = sin-1(sin(30°)·2/1.61) = sin-1(0.62) = 38.2

https://www.triangle-calculator.com/?q=a%3D2+c%3D3+B%3D30&submit=Solve

is a great calculator for this

We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.