Question

NO LINKS!!

Answer 1

Answer: Approximately 211.628311 feet of wire is needed

==========================================================

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

Answer:

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:

$\sf cos(\theta)=\dfrac{A}{H}$

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:

$\sf \implies cos(78)=\dfrac{44}{w}$

$\sf \implies w=\dfrac{44}{cos(78)}$

$\sf \implies w=211.6283112$

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