The geometrical representation of the statement is summarized in the figure below attached. The length of the line is represented by hypotenuse of the right triangle, whose value is calculated by the help of trigonometrical relations:

$\cos \alpha = \frac{h}{r}$ (1)

Where:

$\alpha$ - Angle formed between the zip line and the tower, measured in sexagesimal degrees.

$h$ - Vertical distance between the tower and the platform, measured in meters.

$r$ - Length of the zip line, measured in meters.

If we know that $\alpha = 76^{\circ}$ and $h = 232.1\,m$ , then the length of the zip line is:

$r = \frac{h}{\cos \alpha}$

$r = \frac{232.1\,m}{\cos 76^{\circ}}$

$r = 959.401\,m$

A length of 959.401 meters is needed for the zip line is needed to string it from the top of the tower to the platform.

5 0

2 years ago

22 points )Todd went out for lunch and ordered the taco dinner for $7.95and a soda for $1.50 the total cost included a 6% tax ra

-BARSIC- [3]

You need to first add up the total cost which is 12.45, then find 6% of 12.45 which is .747 or rounded to.75.(tax) then you need to add it to get 13.20. so the tip was 13.20

7 0

2 years ago

Ill mark as brainliest

crimeas [40]

Answer: x =-7 and y =10

Step-by-step explanation:

The given system of equations :

$4x-y=-38..................(1)\\x+y=3...........................(2)$