Answer:
EH = 3.31
Step-by-step explanation:
We have been given a right angle triangle EKL. As KH has been given as the altitude (perpendicular) of the right angled triangle, and K is the right angle, we can say that EK is tthe base of the triangle and EH is the only side lleft, which is the hypotenuse of the triangle.
Where,
EK = Base = 3
KH = perpendicular altitude
EH = Hypotenuse
m<K = 90
m<E = 25
We know that
cosθ = Base/ Hypotenuse
cos 25 = 3/ EH
EH = 3/cos25
EH = 3.31
Perpendicular alitutude can also be calculated by using the formula for tanθ.
Answer:
65
Step-by-step explanation:
TAB is an isosceles triangle by the point to tangent theorem theorem.
BAT and BAT are congruent because of the isosceles triangle definition.
CAT and ABT are right angles by the tangent theorem.
Thus, CAB and CBA are both 90 - 65 = 25.
ACB is 130 because triangles' angles add up to 180.
APB is one half of ACB by the inscribed angles theorem.
Answer:
The mean will reduce
Step-by-step explanation:
The total amount of money for the ten days divided by number of days will give mean 1, M₁
Removing the value for day seven will reduce the sum of money as it will be for 9 days only.In finding the mean, you will divide by 9 days to get mean M₂
Mean M₂ < M₁
The distance covered by the hiker if he traveled a horizontal distance of 120 ft at and angle of 6° will be given by:
cos θ=adjacent/hypotenuse
let the hypotenuse be h, adjacent =120 ft, θ=6°, thus plugging in the values we shall have:
cos 6=120/h
h=120/cos 6
h=120.661 ft
Answer: 120.661 ft
For this case, the first thing we are going to do is write the generic equation of motion for the vertical axis.
We have then:
Where,
- <em>g: acceleration of gravity
</em>
- <em>vo: initial speed
</em>
- <em>h0: initial height
</em>
For the first body:
For the second body:
By the time both bodies have the same height we have:
Rewriting we have:
Clearing time:
Answer:
it takes 18.31s for the two window washers to reach the same height
