Question

A.

Answer 1

Answer:

(a)Attached

(b)69 degrees

(b)The ladder is safe

Step-by-step explanation:

(a)See attached diagram

The wall is length |AB| and the ladder is length |AC|

(b)

$sin \theta =\dfrac{|AB|}{|AC|} \\sin \theta =\dfrac{14}{15}\\\theta=arcsin (\dfrac{14}{15})\\\theta=69^\circ$

(c)Jamie wants the angle of the ladder makes with the ground to be no greater than 75 degrees for safety reasons.

Since the angle formed between the ground and the ladder (69 degrees) is less than 75 degrees, the ladder is safe the way it is positioned.