menu
Qammunity.org
Login
Register
My account
Edit my Profile
Private messages
My favorites
In DEF, given the lengths of the sides, find the measure of the stated angle to the nearest degree. d = 10.7, e = 15.5, f = 16.2;
Ask a Question
Questions
Unanswered
Tags
Ask a Question
In DEF, given the lengths of the sides, find the measure of the stated angle to the nearest degree. d = 10.7, e = 15.5, f = 16.2;
asked
Oct 4, 2018
126k
views
0
votes
In DEF, given the lengths of the sides, find the measure of the stated angle to the nearest degree.
d = 10.7, e = 15.5, f = 16.2;
Mathematics
high-school
Marek Raki
asked
by
Marek Raki
7.6k
points
answer
comment
share this
share
0 Comments
Please
log in
or
register
to add a comment.
Please
log in
or
register
to answer this question.
2
Answers
1
vote
e=15.5 is going to be right
Kin Cheung
answered
Oct 6, 2018
by
Kin Cheung
8.0k
points
ask related question
comment
share this
0 Comments
Please
log in
or
register
to add a comment.
3
votes
Using the Law of Cosines
cos(D) = (e² + f² -d²) ÷ (2ef)
cos(D) = (240.25 + 262.44 -114.19) / (2*15.5*16.2)
cos(D) = 388.50 / 502.20
cos(D) =
0.7735961768
D = 39.322 degrees
For the next angle we can use the Law of Sines
sin ∠E = (e • sin(D)) ÷ d
sin ∠E = (15.5 * 0.63368) / 10.7
sin ∠E = 0.9179476636
E = 66.628 Degrees
Angle F = 180 -39.322 -66.628 = 74.05 degrees
Ivan Minakov
answered
Oct 10, 2018
by
Ivan Minakov
7.3k
points
ask related question
comment
share this
0 Comments
Please
log in
or
register
to add a comment.
← Prev Question
Next Question →
No related questions found
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.
9.4m
questions
12.2m
answers
Categories
All categories
Mathematics
(3.7m)
History
(955k)
English
(903k)
Biology
(716k)
Chemistry
(440k)
Physics
(405k)
Social Studies
(564k)
Advanced Placement
(27.5k)
SAT
(19.1k)
Geography
(146k)
Health
(283k)
Arts
(107k)
Business
(468k)
Computers & Tech
(195k)
French
(33.9k)
German
(4.9k)
Spanish
(174k)
Medicine
(125k)
Law
(53.4k)
Engineering
(74.2k)
Other Questions
How do you can you solve this problem 37 + y = 87; y =
What is .725 as a fraction
How do you estimate of 4 5/8 X 1/3
Twitter
WhatsApp
Facebook
Reddit
LinkedIn
Email
Link Copied!
Copy
Search Qammunity.org