Question

100 POINTS PLEASE ANSWER ASAP

A building has a second floor window 27 ft above the ground. A fireman brings his 33 foot ladder to lean against the wall to reach the window.


The reference angle will be the angle formed by the ladder and the ground.


[[Word List: Adjacent, Cosine, Hypotenuse, Opposite, Sine, Tangent]]

(a) In this scenario, the ladder represents the ______ of the triangle.

(b) The height of the window is the ________ side of the triangle

(c) The correct trigonometry ratio to use for this scenario is _______.


(d) The reference angle must be between 70 and 80 degrees for the ladder to be safe to climb. Use trigonometry and solve for the reference angle to the nearest whole degree. Is the ladder safe? (show work)

(e) The ladder is adjustable in 1-foot increments. What length does it need to be in order to be safe according to part D? (show work)

Answer 1

The ladder makes an angle 30 degrees with the ground

Data;

Length of the ladder (hypothenuse) = 30 ft

height of the wall (opposite) = 15 ft

When the ladder reclines on the wall, it forms a right-angle triangle and we can solve it.

Using SOHCAHTOA,

We have the value of hypothenuse and opposite and we can use the sine angle of this triangle.

The ladder makes an angle 30 degrees with the ground.

Learn more on trigonometric ratio here;

brainly.com/question/4326804

Step-by-step explanation: