Question

NO LINKS!!

Mark Wolfman is the director of safety at Waterworld. He needs to order a new wire for the tallest tower in the park. One end of the wire is attached to the top of the tower and the other end is attached to stake in the ground that is 44 feet away from the base of the tower. The wire makes a 78 degree angle with the flat ground. How much wire will he need? ​

Answer 1

Answer: Approximately 211.628311 feet of wire is needed

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Step-by-step explanation:

Draw out a right triangle with 44 as the horizontal component. The angle 78 is the angle of elevation right next to the horizontal side.

Let x be the length of the wire needed. This is the hypotenuse of the triangle.

Use the cosine ratio to say the following:

cos(angle) = adjacent/hypotenuse

cos(78) = 44/x

x*cos(78) = 44

x = 44/cos(78)

x = 211.628311 feet approximately

Round this value however you need to.

Answer 2

211.63 ft (nearest hundredth)

Step-by-step explanation:

**Refer to the attached diagram**

We need to find the hypotenuse of the right triangle.

To do this, we should use the cos trig ratio:

`\sf cos(\theta)=(A)/(H)`

where:

• 
  `\theta` is the angle
• A is the side adjacent to the angle
• H is the hypotenuse

Given:

• 
  `\theta` = 78°
• A = 44 ft
• H = w

Substitute given values into the equation and solve for w:

`\sf \implies cos(78)=(44)/(w)`

`\sf \implies w=(44)/(cos(78))`

`\sf \implies w=211.6283112`

Therefore, the length of wire needed is 211.63 ft (nearest hundredth)