Answer please!! It's due tomorrow ​

15) The length of the line segment DE is 14.908.

16) The measure of the angle W is approximately 31.792°.

17) The length of the ladder is approximately 23.182 feet.

Step-by-step explanation:

15) We present the procedure to determine the length of segment DE:

(i) Determine the length of the line segment DF by trigonometric relations:

(1)

(, )

(ii) Determine the length of the line segment DE by trigonometric relations:

(2)

(, )

The length of the line segment DE is 14.908.

16) We present the procedure to determine the measure of the angle W:

(i) Determine the length of the line segment XZ by trigonometric relations:

(3)

(, )

(ii) Calculate the measure of the angle W by trigonometric relations:

(4)

(, )

The measure of the angle W is approximately 31.792°.

17) The system form by the ladder, the ground and the wall represents a right triangle, whose hypotenuse is the ladder, which is now found by the following trigonometric relation:

(5)

Where:

- Angle of the ladder above ground, in sexagesimal degrees.

- Distance between the foot of the ladder and the base of the wall, in feet.

- Length of the ladder, in feet.

If we know that and , then the length of the ladder is:

The length of the ladder is approximately 23.182 feet.

b. 24 mm

step-by-step explanation:

use the pythagorean theorem.

a^2 + b^2 = c^2

a^2 + 7^2 = 25^2

a^2 + 49 = 625

a^2 = 576

a = 24

answer: b. 24 mm

11

step-by-step explanation:

32.50-7.50=25

225/25=11