Use the inverse of the tangent ratio to find the indicated missing angle. Round your answer to the nearest whole degree. the two sides i have are 13 and 9
To find the missing angle with the measures of the two sides given, we can use the inverse tangent ratio formula:
tan(θ) = opposite / adjacent
Given that the opposite side is 13 and the adjacent side is 9, we can set up the equation as follows:
tan(θ) = 13 / 9
Now, to find the angle θ, we can take the inverse tangent of both sides:
θ = tan^(-1)(13/9)
θ ≈ tan^(-1)(1.4444)
θ ≈ 54 degrees
Therefore, the missing angle is approximately 54 degrees.
thats not correct
Apologies for the mistake in my previous response. Let's try solving it again.
Given that the two sides are 13 and 9, we need to find the missing angle. We can use the inverse tangent ratio, which is also known as arctan.
tan(θ) = opposite / adjacent
tan(θ) = 13 / 9
θ = arctan(13/9)
θ ≈ 55 degrees
Therefore, the missing angle is approximately 55 degrees.
thats still wrong
I apologize for the mistake. Let's try solving it again.
Given that the two sides are 13 and 9, we can find the missing angle by using the inverse tangent ratio:
tan(θ) = opposite / adjacent
θ = arctan(13/9)
θ ≈ arctan(1.4444)
θ ≈ 55 degrees
Therefore, the missing angle is approximately 55 degrees.
try the angles 9 and 13
Apologies for the oversight. Let's correct that and try solving the problem with the sides 9 and 13:
Given the sides 9 and 13:
tan(θ) = opposite / adjacent
tan(θ) = 9 / 13
θ = arctan(9/13)
θ ≈ 36 degrees
Therefore, the missing angle with sides 9 and 13 is approximately 36 degrees.
Damar is buying a new windsail for his sailboat. The triangular sail is attached between a vertical pole that creates a 90° angle to the boat and a horizontal pole that is attached at the bottom of the vertical pole. If the vertical pole is 22 feet tall and the horizontal pole is 8 feet, what is the angle of the sail that is formed at the top of the vertical pole? Round your answer to the nearest whole degree.(1 point)
In this scenario, the vertical pole, horizontal pole, and the sail form a right triangle where the vertical pole is the opposite side, the horizontal pole is the adjacent side, and the angle we are trying to find at the top of the vertical pole is the angle θ.
Given that the vertical pole is 22 feet and the horizontal pole is 8 feet, we can use the tangent ratio to find the angle:
tan(θ) = opposite / adjacent
tan(θ) = 22 / 8
θ = arctan(22/8)
θ ≈ arctan(2.75)
θ ≈ 71 degrees
Therefore, the angle of the sail that is formed at the top of the vertical pole is approximately 71 degrees.