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Q: If the side opposite a 45 and ocirc angle in a right triangle equals 12.5 meters how long is the side adjacent the angle (Round the answer to the nearest tenth.)?
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What is the measure of angle A to the nearest degree if side a equals 490 and side b equals 960?

There is not enough information. Angle A can be anything between 0 and 180 degrees. If you are talking about a triangle ABC, in which angle C is the right angle then a is the opposite side and b is the adjacent side. tan A = opposite / adjacent tan A = 490 / 960 = 0.51041666666666666666666666666667 and A = invtan(0.51041666666666666666666666666667) [also called tan-1] so A = 27.04 degrees


Fill in the blank The ratio relates the length of the leg opposite the angle in question to the length of the hypotenuse?

This ratio is called the sine ratio for a right triangle. A simple way to remember this is by using the mnemonic 'SOHCAHTOA', where SOH stands for sine equals the ratio opposite side/ hypotenuse, COH is cosine equals adjacent side/hypotenuse, and TOA is tangent equals opposite side/adjacent side.


If the side opposite a 45ô angle in a right triangle equals 12.5 meters how long is the side adjacent the angle?

12.5 meters 12.5/tan(45) = 12.5


If the right triangle acb m ang a equals 30 degrees and bc equals 5 what is the length of ac and how do you solve these problems?

If its a right triangle, use SoH CaH Toah, or Sine = opposite over hypotenuse, Cosine = adjacent over hypotenuse, and tangent = opposite over the adjacent. So, to solve your problem, if "c" is the right angle, Tan(a) = bc/ca or Tan(30)=5/ca or .577 = 5/ca or (.577)*ca = 5 or ca=5/(.577) or ca= 8.66


If side a equals 76.4 ft and side b equals 39.3 ft what is the measure of angle A?

I will assume that this is a right triangle and neither side length is the hypotenuse. In the case that this is a right triangle and neither side length given is for the hypotenuse, you would use tangent to solve for your angle measure. tan(Q) = the length of the side opposite of Q/the length of the side adjacent to Q. So for this answer: **NOTE: Side a is traditionally the side opposite to angle A.** tan(A) = a/b *where b is not the hypotenuse => tan(A) = 76.4/39.3 tan(A) = 1.94402... A = arctan(1.94402...) *arctan is the same thing as inverse tangent or tan^(-1) A ~= 62.78 Degrees * ~= means approximately. ***Extra stuff: tan = opposite/adjacent sin = opposite/hypotenuse cos = adjacent/hypotenuse

Related questions

If the side opposite a 45 degree angle in a right triangle equals 12.5 meters How long is the side adjacent the angle?

12.5 m


What is the measure of angle A to the nearest degree if side a equals 490 and side b equals 960?

There is not enough information. Angle A can be anything between 0 and 180 degrees. If you are talking about a triangle ABC, in which angle C is the right angle then a is the opposite side and b is the adjacent side. tan A = opposite / adjacent tan A = 490 / 960 = 0.51041666666666666666666666666667 and A = invtan(0.51041666666666666666666666666667) [also called tan-1] so A = 27.04 degrees


He tangent of an angle equals the ratio of the?

opposite/ adjacent


Fill in the blank The ratio relates the length of the leg opposite the angle in question to the length of the hypotenuse?

This ratio is called the sine ratio for a right triangle. A simple way to remember this is by using the mnemonic 'SOHCAHTOA', where SOH stands for sine equals the ratio opposite side/ hypotenuse, COH is cosine equals adjacent side/hypotenuse, and TOA is tangent equals opposite side/adjacent side.


If the side opposite a 45ô angle in a right triangle equals 12.5 meters how long is the side adjacent the angle?

12.5 meters 12.5/tan(45) = 12.5


Explain why the tangent of 45 equals 1?

Tangent is determined by the ratio of the side opposite the angle over the one adjacent to it. In a 45-45-90 triangle, the ratio of these sides is 1. This is because the side opposite one of the 45 degree angles is adjacent to the other, and vise versa.


The tangent of an angle equals the ratio of the what?

in a right trianlge the tangent is the ratio of Opposite/Adjacentcosine is Adjacent/Hypotenusesine is Opposite/Hypotenuse


In math what do the letters in sohcahtoa stand for?

A way of remembering how to compute the sine, cosine, and tangent of an angle. SOH stands for Sine equals Opposite over Hypotenuse. CAH stands for Cosine equals Adjacent over Hypotenuse. TOA stands for Tangent equals Opposite over Adjacent.


Does An exterior angle of a triangle equals 180 minus the adjacent interior angle?

Yes it does. Good work!


If the right triangle acb m ang a equals 30 degrees and bc equals 5 what is the length of ac and how do you solve these problems?

If its a right triangle, use SoH CaH Toah, or Sine = opposite over hypotenuse, Cosine = adjacent over hypotenuse, and tangent = opposite over the adjacent. So, to solve your problem, if "c" is the right angle, Tan(a) = bc/ca or Tan(30)=5/ca or .577 = 5/ca or (.577)*ca = 5 or ca=5/(.577) or ca= 8.66


If the opposite a 45 angle in a right triangle equal 12.5 meters how long is the side adjacent the angele?

The length of the line adjacent to angle 45 degrees will also be 12.5 meters because in effect the given triangle is that of half a square with 4 equals sides of 12.5 meters or alternatively using trigonometry 12.5*tangent(45) = 12.5 meters


Examples of sohcahtoa?

SOHCAHTOAA way of remembering how to compute the sine, cosine, and tangent of an angle.SOH stands for Sine equals Opposite over Hypotenuse.CAH stands for Cosine equals Adjacent over Hypotenuse.TOA stands for Tangent equals Opposite over Adjacent. Example: Find the values of sin θ,cos θ, and tan θ in the right triangle 3, 4, 5. Answer:sin θ = 3/5 = 0.6cosθ = 4/5 = 0.8tanθ = 3/4 = 0.75