Find the values of the three trigonometric A Use a calculato

Find the values of the three trigonometric A. Use a calculator to find the value ten-thousandth. tan 26 degree sin 53 degree cos 81 degree Solve each right triangle. Round each side length to the nearest tenth. Find m J for each right triangle to the nearest degree. SURVEYING If point A is 54 feet from the tree, and the angle between the ground at point A and the top of the tree is 25 degree, find the height h of the tree.

Solution

1) base = 72

hypotenuse = 97

adjacent = sqrt ( 97^2 - 72^2 ) = 65

sin A = adjacent / hypotenuse = 65 / 97

cos A = base / hypotenuse = 72 / 97

tan A = adjacent / base = 65 / 72

2) adjacent = 36

base = 15

hypotenuse = sqrt ( 36^2 +15^2 ) = 39

sin A = 36 / 39 = 12/13

cos A = 15/39 = 5 / 13

tan A = 36/15 = 12 / 5