Question

Use the diagram to answer the question. Triangle R S T. Segment R S measures 10 units Segment R T measures 8 units. Angle T is a right angle. What is the measure of ∠R? Enter the correct value rounded to one decimal place, if necessary, like this: 42.5

Answer 1

Answer:

angle R= 36.869

Step-by-step explanation:

CosR=8/10

cosR=0.8

R= inverse cos (0.8)

R=36.869

Answer 2

The angle R of the triangle RST whose segment RS measures 8 units, angle T is aright angle is 36.87 degrees.

What is a triangle?

It is a three sides figure whose angles form a sum of 180 degrees.

What is line segment?

It is a line which joins two points on a surface.

How to measure an angle?

We know that the sum of angles in a triangle is equal to 180 degrees. We know that the angle RTS is 90 degrees. So firstly we will calculate the angle RST which comes from    sin(α)=8/10

sin(α)=0.8

α= Inverse of sin(0.8)=53.13 degrees

Let the angle TRS is x so,

x+53.13+90=180

x=36.87

Hence the measure of the angle R is 36.87.

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