Question

Answer these two questions

Answer 1

For PART A: the height of the pole in the right angle triangle is 30 ft and the correct option is C

For PART B: the lenght of wire 1 in the right angle triangle is 45 ft and the right option is D

What is a right angle triangle?

A right-angled triangle is a polygon of three sides having one angle as 90 degrees(right angle).

Part A

To calculate the height of the pole in the right angle triangle, we use the formula below.

Formula:

• tan∅ = opposite/adjacent

From the diagram,

Given:

• ∅ = 41°
• Opposite = Height of the pole = P
• Adjacent = 34 ft

Substitute these values into equation 1 and solve for P

• tan41° = P/34
• P = 34×tan41°
• P = 29.55
• P ≈ 30 ft

Part B

Similarly, fine the length of wire 1, we use the formula below.

Formula:

• cos∅ = Adjacent/Hypotenus.......... Equation 2

From the diagram,

Given:

• Hypotenus = Wire 1 = x
• ∅  = 41°
• Adjacent = 34 ft

Substitute these values into equation 2 and solve for x

• cos41° = 34/x
• x = 34/cos41°
• x = 45.05
• x ≈ 45 ft

Hence, the height of the pole is 30 ft and the lenght of wire 1 is 45 ft.

Learn more about right angle triangle here: brainly.com/question/64787

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