Step-by-step explanation:
I can't see picture very well but as I see first angle is
-4x+5 and second is -13x+39 ( if it isn't, correct me)
sum of this angles is 180° because they are inner angles
(-4x+5) + (-13x+39) = 180
-4x+5 -13x+39=180
-17x+44=180
-17x = 180-44
-17x= 136
x= -8
angle -4x+5 will be:
-4*-8 + 5= 32+5= 37°
Answer:
<h3>20.6 ft</h3>
Step-by-step explanation:
You must use the trigonometric function.
In this case, it will be tangent.
We have
Substitute:
<em>multiply both sides by 20</em>
Tree height is r + 5.
Therefore
Answer:
Step-by-step explanation:
Balloon - B, stake - S, point at ground - G
<u>Given:</u>
- BS = 90 ft
- m∠BSG = 62°
- BG = x
<u>Use sine and solve for x:</u>
- BG/BS = sin ∠BSG
- sin 62° = x / 90
- x = 90 sin 62 deg
- x = 79 ft (rounded)
Answer:
m∠BEF = 65.3°
Step-by-step explanation:
Given:
m∠DEB = 27.2,
m∠DEF = 92.5
Required:
m∠BEF
SOLUTION:
Since B is the interior of ∠DEF, it means ∠DEB and ∠BEF are adjacent angles that make up ∠DEF. And they share the same side, BE.
Therefore:
m∠BEF + m∠DEB = m∠DEF (angle addition postulate)
m∠BEF + 27.2 = 92.5
Subtract 27.2 from each side
m∠BEF + 27.2 - 27.2 = 92.5 - 27.2
m∠BEF = 92.5 - 27.2
m∠BEF = 65.3°