sachiwilliams
sachiwilliams sachiwilliams
  • 13-03-2017
  • Mathematics
contestada

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;

Respuesta :

Scottynel17
Scottynel17 Scottynel17
  • 13-03-2017
e=15.5 is going to be right
Answer Link
wolf1728
wolf1728 wolf1728
  • 13-03-2017
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
 







Answer Link

Otras preguntas

Write the slope-intercept form of the equation of the line described.through: (4,4) perpendicular to y= -1/2x -2
"1. what did this letter written by gideon eventually led the supreme court to do?"
what word does jefferson use to show the king as an absolute tyrant
Of the 200 guests invited to a wedding, 154 attended. What percentage of the invited guests attended the wedding?
In the following reaction, which element is oxidized and which is reduced?
Since 1823 which united states policy has limited foreign influence in the western hemisphere
30n^2 b-87nb+20b what are the steps to solve this?
How many 3 character combinations are there?
How to change a repeating decimal to fraction?
what word does jefferson use to show the king as an absolute tyrant