Number 1 has a picture Number 2 also has a picture Given: ABC is a right triangle with right angle C. AB=14 centimeters and m∠A=33∘ .What is AC ?Enter your answer, rounded to the nearest tenth, in the box. cmA wooden board is leaning against a wall. The base of the board is 6 feet from the base of the wall, and the base of the board forms a 55° angle with the ground.What is the length of the wooden board?Enter your answer, rounded to the nearest tenth, in the box. ftJacob is standing 112 m from a building. The angle of elevation from where he is standing on the ground to the top of the building is 62°. How tall is the building?Round the final answer to the nearest tenth.Enter your answer in the box. m
Accepted Solution
A:
Question 1
cos(C) = adj/hyp cos(C) = BC/AC cos(C) = 15/17
Answer: Choice C) 15/17
=============================================
Question 2
sin(E) = opp/hyp sin(E) = FD/DE sin(E) = 24/25
So angle E is the answer
=============================================
Question 3
AC is the adjacent side to the given angle A = 33 degrees AB = 14 is the hypotenuse
cos(angle) = adjacent/hypotenuse cos(33) = x/14 14*cos(33) = x x = 14*cos(33) x = 11.741 x = 11.7
Answer: 11.7
=============================================
Question 4
x = length of board
cos(angle) = adj/hyp cos(55) = 6/x x*cos(55) = 6 x = 6/cos(55) x = 10.46068 x = 10.5
Answer: 10.5
=============================================
Question 5
112 is the adjacent side to the given angle 62 degrees x = height of building, which is the opposite leg
tan(angle) = opp/adj tan(62) = x/112 112*tan(62) = x x = 112*tan(62) x = 210.641364 x = 210.6