Download Question #1: A guy wire is 13.5 m long. It supports a vertical power

Question #1: A guy wire is 13.5 m long. It supports a vertical power pole. The wire is fastened to the ground 9.5 m
from the base of an 8.7 m tall pole. Calculate the measure of the guy wire and the ground.
Question #2: A 5.0 m ladder is leaning 3.7 m up a wall. What is the angle the ladder makes with the ground?
Question #3: A kite has a string 100 m long anchored to the ground. The string makes an angle with the ground of 68
degrees. What is the horizontal distance of the kite from the anchor?
Question #4: A ladder is leaned 10 m up a wall with it's base 6 m from the wall. What does the ladder make with the
ground?
Question #5: The acronym SOHCAHTOA is often used in trigonometry. What do you think each letter stands for and
give an example finding either an unknown side or an unknown angle using a portion of this acronym.
This here I have no idea.
(1) In this problem, we are asked to find the measure of the angle between the guy wire and the ground
Let the angle be θ
cos θ = 9.5/13.5 = 0.7037
θ = 45.28 or 45° 16’ 30”
(2) Let the angle made by the ladder with the ground be θ
sin θ = 3.7/5 = 0.74
θ = 47.73 = 47 43’ 53”
(3) Let the horizontal distance be x
cos 68 = x/100
x = 100 * cos 68 = 37.46 m
(4) Let the angle be θ
tan θ = 10/6 = 1.667
θ = 59.04 = 59 2’ 10”
(5) The acronym SOHCAHTOA stands for “Silly Old Harry Couldn't Answer His Test On Algebra”
It is recommended as a mnemonic to the students of Trigonometry to remember the formulas for the three primary
trigonometric ratios, sin, cos and tan
Sin = Opp/Hyp, Cos = Adj/Hyp, Tan = Opp/Adj