Answer:
1-
sinA = perpendicular / hypotenuse
sinA = 40 / 50 OR 4/5
cosA = base / hypotenuse
cosA = 30 / 50 OR 3/5
ANS - OPTION(D) 4/5 , 3/5
2-
ANS - OPTION(C) √2 (You will need to learn the trigo angle tables for these questions)
3-
Using Pythagoras theorem-
15^2 = b^2 + 9^2
225 = b^2 + 81
b = √144
b = 12
OPTION(C) b = 12
4-
First we need to find the height of the triangle. To do that we need to take the triangle on the left and use cos30
cos30 = b / 6
√3/2 = b /6
3√3 = b
b = 3√3
and now we can use tan45
tan45 = 3√3 / x
1 = 3√3/x
x = 3√3
ANS - OPTION(A) 3√3
Hope this helps!!!
