Answer:
8.4 in
Step-by-step explanation:
Solution:-
- We consider the large right angle triangle namely, " XVW "
- We will recall all the trigonometric ratios that are applicable to all right angled triangles.
- While we are dealing with trigonometric ratios we have the following terms that needs to be correlated with the given specific problem:
Hypotenuse ( H ): Side opposite to 90 degrees angle
Base (B): The side adjacent to the available angle ( θ )
Perpendicular (P): The side opposite to the available angle ( θ )
- We will go ahead and mark our respective sides as follows:
Angle ( θ ) : 34°
Hypotenuse ( H ) : XW = 15 in
Base ( B ) : VW
Perpendicular ( P ) : VX
- Now recall all the trigonometric ratios studied:
sin ( θ ) = P / H = VX / XW
cos ( θ ) = B / H = VW / XW
tan ( θ ) = P / B = VX / VW
- Now choose the appropriate trigonometric ratio with two values given and one ( VX ) that needs to be determined as follows:
sin ( θ ) = P / H = VX / XW
sin ( 34° ) = VX / 15
VX = 15*sin ( 34° )
VX = 8.387 .. ( 8.4 ) in
Answer: x=-2
Step-by-step explanation:
Hi there! :)
Answer:
m∠BGC = 16x - 4
m∠CGD = 2x + 13
m∠BGC + m∠CGD sums up to 90°, therefore:
(16x - 4) + (2x + 13) = 90
Combine like terms and simplify:
16x + 2x - 4 + 13 = 90
18x - 4 + 13 = 90
18x + 9 = 90
18x = 81
18x/18 = 81/8
x = 4.5
B=7
3(b-4)+5b=44
3b-12+5b=44
8b=44+12
8b=56
b=7
