menu
Qammunity
Login
Register
My account
Edit my Profile
Private messages
My favorites
Ask a Question
Questions
Unanswered
Tags
Categories
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
Other Questions
What is .725 as a fraction
How do you estimate of 4 5/8 X 1/3
A bathtub is being filled with water. After 3 minutes 4/5 of the tub is full. Assuming the rate is constant, how much longer will it take to fill the tub?
i have a field 60m long and 110 wide going to be paved i ordered 660000000cm cubed of cement how thick must the cement be to cover field
Write words to match the expression. 24- ( 6+3)
Twitter
WhatsApp
Facebook
Reddit
LinkedIn
Email
Link Copied!
Copy
Search Qammunity