Question

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.
cm

A 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.
ft

Jacob 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

Answer 1

1.
`(15)/(17)`

2. <E

3. 11.7 cm

4. 10.5 ft

5. 210.6 m

Explanation:

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Answer 2

Question 1

cos(C) = adj/hyp
cos(C) = BC/AC
cos(C) = 15/17

Answer: Choice C) 15/17

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Question 2

sin(E) = opp/hyp
sin(E) = FD/DE
sin(E) = 24/25

So angle E is the answer

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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

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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

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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

Answer: 210.6