Answer:
Distance of the keys on ground from the base of the tower = 7.38 ft
Step-by-step explanation:
Given:
Height of tower = 94 ft
Tower is leaning and makes an angle of 85.5 degrees from the ground.
Keys are dropped from the top of the tower.
To find the distance of the keys on ground from the base of the tower.
From the data given to us we can construct a right triangle ABC.
For the Δ ABC
AB= 94 ft
∠A= 85.5°
We can apply trigonometric ratio to find side BC which is the distance of the keys on ground from the base of the tower.
Using cosine ratio: 
In Δ ABC

Multiplying both sides by AB.



Substituting value of AB and cos 85.5°

∴ 
Distance of the keys on ground from the base of the tower = 7.38 ft
Answer:
A'(-4,4)
B'(-2,11)
Step-by-step explanation:
6 unit up and 3 unit left
A (-1,-2) : 6 unit up → (-1,4) → 3 unit left → (-4,4)
A'(-4,4)
B (1,5) : 6 unit up → (1,11) → 3 unit left → (-2,11)
B'(-2,11)
Answer:
n = 0
Step-by-step explanation:
Anything to the power of 0 is 1
x^12 is already equal to x^12 so it only needs to be multiplied by 1
So n = 0
Answer:
15 degrees
Step-by-step explanation:
Since ABD is a right angle it equals 90 degrees
ABC is 75 degrees
ABC + CBD = ABD
75 + CDB = 90
Subtract 75 from each side
75-75 + CDB = 90-75
CDB = 15
The other angle is 15 degrees
First your going to use commutative property to reorder the terms , so it would be
5x^4-x-35x^3+7 , then your going to factor out x & -7 from the equation once you factor that out you should have x(5x^3-1)-7(5x^3-1) after you got that your going to factor out 5x^3-2 and get the answer (x-7)(5x^3-1) which is your final answer.