An observation tower is 75 m high. A support wire is attached to the tower 20 m from the top. If the support wire and the ground form an angle of 46 degrees, what is the length of the support wire, to the nearest thousandth?

76.46 m

Step-by-step explanation:

Height of tower = 75m

Support wire 20 m from top

Angle formed (α) = 46°

Using Pythagoras :

Sinα = opposite / hypotenus

Height used = height of tower - 20 m from top

Height = opposite = (75 - 20)m = 55m

Hypotenus = Length of support wire

Sin 46 = 55m / hypotenus

Hypotenus * sin 46 = 55

0.71934 * hypotenus = 55

Hypotenus = 55/0.71934

Hypotenus = 76.458976

Hence, Lenght of support wire = 76.46 m

answer: a) (0,0), (1,1), (2,8), and (3,27).

step-by-step explanation:

0^3=0

1^3=1

2^3=8

3^3=27

in effect, the exponential equation for this would me y=3^x. each x-coordinate cubed is giving the y coordinate, so a is your answer : )

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98