A guy wire attached to the top of a radio antenna is bolted to the ground 48 m from the base of the

tower. If the wire makes an angle of 14° with the

ground, how high is the radio antenna? Express

your answer to 2 decimal places.

A.

8.00 m

10.02 m

Huy Airp

11.97 m

.

14.35 m

11.97 m

Step-by-step explanation:

The height of radio antenna can be obtained using the trigonometric function:

Tan θ = opposite / Adjacent

θ = 14° ; opposite = h ; adjacent = 48m

Tan 14= h / 48

0.2493280 = h / 48

h = 0.2493280 * 48

Height, h of tower is : 11.9677 = 11.97 m

d 192

step-by-step explanation:

we find our area to find area we multiply thoses numbers to get our answer so our area is 192

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18