If t=38.5 and s=31.4 find s. round to the nearest tenth

The correct answer option is C. S = 54.6°.

Step-by-step explanation:

We are given a right angled triangle with two known sides, and .

We are to find the value of the angle .

For that, we will use sine.

S = 54.6°

option c.

Step-by-step explanation:

You need to remember the identity:

The inverse of the sine function is arcsine. You need to use this to calculate the angle "S":

You know that you need to find the measure of "S" and (which is the hypotenuse) and (which is the opposite side), then you can substitute values into   

Then, you get:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

could you provide figure.