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1 year ago

Answer these two questions

Mathematics

1 answer:

AVprozaik [17]1 year ago

5 0

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

<h3 /><h3>What is a right angle triangle?</h3>

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

#SPJ1

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