Aright triangle (triangle 1) has measurements of a = 505 mm and b = 286 mm. what are the measurements for c, α, and β?

see the attached figure to better understand the problem  

Step 1

Find the value of c

we know that

Applying the Pythagorean Theorem

we have

substitute the values in the formula

Step 2

Find the value of angle A (α)

we know that

in the right triangle ABC

Step 3

Find the angle B (β)

we know that

in the right triangle ABC

angle A and angle B are complementary angles

so

A+B=90

solve for B

B=90-A-------> B=90-60.48-----> B=29.52°

therefore

the answers are

a) the measure of side c is 580.36 mm

b) the measure of the angle α is 60.48°

c) the measure of the angle β is 29.52°

good luck!

cutie~

6,250

step-by-step explanation:

to get the area, multiply 360 by 160.(57,600)

to find out how many bags of fertilizer it will take, first figure out how many square feet one bag can hold. divide 1000 by 8(125) to get the unit rate(how many square feet one pound of fertilizer can hold)and multiply it by 50(6250). if i haven't made a mistake, that is the answer.