Question

Find the value of each variable. Round your answers to the nearest tenth. A right-angled triangle with length of hypotenuse labeled j. Other two sides are of lengths labeled k and 10. The measure of angle opposite to side of length k is labeled 40 degrees.

Answer 1

K = 8.4

J = 13.1

Explanation:

the hypotenuse = j

opposite side = 10

adjacent side = k

and the angle of 40 is given

to find k, use tan 40

tan 40 = opposite / adjacent

0.8391 = opposite / 10

opposite = 0.8391 x 10 = 8.391

to find j , use cos 40

cos 40 = adjacent / hypotenuse

0.7660 = 10 /hypotenuse

hypotenuse = 10 / 0.7660 = 13.1

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero