Please help me on this Trigonometry Right Triangle question.

Question

Question:

Two walls of a canyon form the walls of a steady flowing river. From a point on the shorter wall, the angle of elevation to the top of the opposing wall is 20° and the angle of depression to the bottom of the opposing wall is 260 feet. Using the appropriate right triangle solving strategies, solve for the following: (Do not round intermediate calculated values. Only the final answer should be rounded to one decimal place.)

ibb.co/vvF1Hcy (picture/image)

the height of the short wall (x)

the height of the tall wall (y)

the distance between the canyon walls (z)

x = ___ feet

y = ___ feet

z = ___ feet

Provided image: ibb.co/vvF1Hcy 

Reason for asking: My reason for asking is because I have many questions like this on my homework sheet but the problem is I don't know how to answer them. I was/am hoping that someone would answer the question and go over the steps so that I can understand and try to use it in my other questions. I tried to use SOHCAHTOA but I'm not sure about it.

Due: Today

Thanks for the help.

Answer 1

x=z

x²+z²=260²

x²+x²=260²

2x²=260²

x=183.84776∼183.8 ft

z=x=183.8 ft

y=x+z(tan 20)=x+x(tan20)=x(1+tan20)=250.76288∼250.8 ft