Question

In △ TUV,v=110 inches, t=890 inches and angle U=8 ° . Find angle T , to the nearest degree.

Answer 1

To find angle T in △ TUV, we can use the fact that the sum of angles in a triangle is 180 degrees. By subtracting the sum of angles U and T from 180, we can find angle V. Angle T can then be determined by subtracting angle V from 172.

Step-by-step explanation:

To find angle T in △ TUV, we can use the fact that the sum of angles in a triangle is 180 degrees. Since we know angle U and angle T, we can subtract their sum from 180 to find angle V.

Angle V = 180 - (angle U + angle T) = 180 - (8 + T) degrees

Substituting the given values, we have: Angle V = 180 - (8 + T) = 180 - (8 + T) = 180 - 8 - T = 172 - T degrees

Therefore, angle T is equal to 172 - angle V.

Answer 2

Angle T in triangle TUV can be found by subtracting the known angles from 180 degrees, but additional information about angle V or side u is needed for a precise calculation due to the large disparity in side lengths.

Step-by-step explanation:

To find angle T in triangle TUV, we need to use the fact that the sum of the angles in a triangle is always 180 degrees.

Since we are given that angle U = 8 degrees and side lengths v = 110 inches and t = 890 inches, we can calculate the missing angle T.

Angle T can be found using the following steps:

1. Sum of angles in a triangle = 180 degrees.
2. Another angle, angle V, can be calculated using the Law of Sines if necessary.
3. Once angle V is found, angle T can be determined by subtracting the known angles (angle U and angle V) from the total sum of 180 degrees.

However, given the large disproportion between side t and side v, and the small magnitude of angle U, the triangle may not be valid or angle T could be a right angle or close to a right angle.

We need more information about angle V or side u to make a precise calculation.