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:
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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Answer:
yes
Step-by-step explanation:
Substitute x = - 3 and y = 2 into the left side of the inequality and compare the value obtained with the right side.
- 3 - 5(2) = - 3 - 10 = - 13 < 7
Thus (- 3, 2) is a solution of the inequality
2000 pounds = 1 ton
1.51 x 2000 = 3020 pounds
3020/8.4 = 359.52 gallons. Round off answer as needed.
Answer:
11/20
Step-by-step explanation:
22/50 is equivalent because if you multiply 50 by 2 to get 100, then multiply 22 by 2, you get 44 out of 100 (44). For 11/20 if you multiply 20 by 5 to get 100, then multiply 11 by 5, you get 55 out of 100 (55). Do the same thing for all the other ones. I hope this helps! Please mark me brainliest thanks!
Answer:
third option
Step-by-step explanation:
Given
x² + 4x - 4 = 0 ( add 4 to both sides )
x² + 4x = 4
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(2)x + 4 = 4 + 4, that is
(x + 2)² = 8 ( take the square root of both sides )
x + 2 = ± 
= ± 2
( subtract 2 from both sides )
x = - 2 ± 2
