Oscar uses a board to form a walking plank across a small ditch that has uneven sides. The board is 8 feet in length and stretches across the entire gap. The higher side is 3 feet above the other side. What is the approximate angle of elevation formed between the board and the lower side of the ditch?(1 point)
Write the equation to represent the problem.
___ ^−1 x = __
Question 2
Use the equation you indicated above to solve for x.(1 point)
x= __ °
To find the angle of elevation, we can use the tangent function.
The equation will be: tan(angle) = opposite/adjacent = 3/8
So, x = tan^(-1)(3/8) = approximately 20.56°.
Therefore, the angle of elevation formed between the board and the lower side of the ditch is approximately 20.56°.
Jerry is building a skateboard ramp. The length of the ramp is 6 feet long and rises to a height of 2.5 feet. What is the approximate angle of elevation formed by the ramp and the ground. Round your answer to the nearest degree.(1 point)
Write the equation to represent the problem.
___ ^−1 x = __
Question 2
Use the equation you indicated above to solve for x.(1 point)
x= ___°
To find the angle of elevation, we can use the tangent function.
The equation will be: tan(angle) = opposite/adjacent = 2.5/6
So, x = tan^(-1)(2.5/6) = approximately 22.62°.
Therefore, the approximate angle of elevation formed by the ramp and the ground is approximately 22.62°.
Mitch is 6 feet tall and is looking at a bird on top of a 12-foot street light. He is standing 16 feet from the the light post. What is the angle of elevation that Mitch is looking up to the the bird to the nearest degree?
(1 point)
Write the equation to represent the problem.
__ ^−1 x = ___
Question 2
Use the equation you indicated above to solve for x.(1 point)
x= __°
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To find the angle of elevation, we can use the tangent function.
Let y be the height of the bird relative to Mitch's line of sight, which is 12 - 6 = 6 feet.
The angle of elevation x can be calculated using: tan(x) = opposite/adjacent = 6/16
So, x = tan^(-1)(6/16) = approximately 20.56°.
Therefore, the approximate angle of elevation that Mitch is looking up to the bird is 21°.
Find the m\angle A and m\angle B . Round your answers to the nearest degree. ( opposite: 8) ( hypotenuse 17) (adjacent: 15)
Given the opposite side is 8, the hypotenuse is 17, and the adjacent side is 15.
To find angle A:
sin(A) = opposite/hypotenuse = 8/17
A = sin^(-1)(8/17) = approximately 29 degrees
To find angle B:
cos(B) = adjacent/hypotenuse = 15/17
B = cos^(-1)(15/17) = approximately 22 degrees
Therefore, m∠A is approximately 29 degrees and m∠B is approximately 22 degrees.
Find the m∠θ
. Round your answers to the nearest tenth.
(opposite:12) (hypotenuse:13) (adjacent:5)
To find the angle θ, we can use the trigonometric functions:
Given: opposite side is 12, hypotenuse is 13, and adjacent side is 5.
Using the values given:
sin(θ) = opposite/hypotenuse = 12/13
θ = sin^(-1)(12/13) ≈ 66.5 degrees
Therefore, the measure of the angle θ is approximately 66.5 degrees.
Find the m∠A
and m∠B
. Round your answers to the nearest tenth.
( adjacent: 25) (opposite: 20)