Question

With show work. trigonometry

Answer 1

See below

Explanation:

To find pole height

for a right triangle

sin 38 = opposite leg / hypotenuse = height /15 m

sin 38 = height / 15

15 sin 38 = height = 9.2 meters

To find rope DC

Use pythagorean theorem ( you have leg1 = height and leg 2 = 10.7)

DC ^2 = 9.2^2 + 10.7^2

DC = 14.1 m