solve equation for 0 less than or equal to X less than 2 pi

tan x + sec x = 1

Trigonometry word problem

An overhead wire stretches from the service drop on a building, which is 20' from the ground, to an insulator on a pole which is 35' from the ground. How long is the wire if the pole and building are 48' apart and the ground is level? carry the answer out 2 decimals.

Trigonometry

Locate each point in a coordinate system. Draw a ray from the origin through the given point. Indicate with an arrow the angle in standard position having smallest positive measure. Then find the distance r from the origin to the point, using the distance formula. I am having a hard time with this problem. (√3,1) =√-(√3)2 + (-1)2 =√-3 + 1 =√-2 The correct answer is 2. I know we can't have a negative square root because this is a non-real number. If you can give me the steps on how to get the correct answer it will be greatly appreciated. Thanks.

Trigonometry

Locate each point in a coordinate system. Draw a ray from the origin through the given point. Indicate with an arrow the angle in standard position having smallest positive measure. Then find the distance r from the origin to the point, using the distance formula. (4√3, -4) The correct answer is 8 but I am having a hard time in how they got this answer. Any help will be greatly appreciated. Thanks.

Trigonometry

See attach file. The correct answer is x=30 y=30. How did they get this answer? Thanks.