+16 4. An 8 m ladder leaning against a wall reaches a height of 7 m up the wall. [a] What angle with the ground does the base of the ladder make? [b] Use trigonometry to find the distance from the base of the wall to the base of the ladder. [c] What other method could you have used to answer Question 4[b]?
+130511 Angle that the base of the ladder makes with the ground can be found with the sine inverse [arcsin].....so we have....
arcsin (7/8) = about 61.04°
Distance from base of wall to ladder base, (d) =
cos(61.04) = d/8 multiply both sides by 8
8cos(61.04) = d = about 3.87 ft
We could have also used the Pythagorean Theorem to find this last measurement
sqrt(8^2 - 7^2) = sqrt (64 - 49) = sqrt(15) = about 3.87 ft
