5n - 2 = 6r + 5 What is n

Two buildings are facing each other on a road of width 12 metre . From the top of the first building, which is 10 metre high , t

Karo-lina-s [1.5K]

Answer:

$\displaystyle 10 + 12\sqrt{3}$ metres

Step-by-step explanation:

You are finding the height of the building with an angle of elevation, therefore we need to solve for EC to add it to BA [10 metres] and use TRIGONOMETRIC RATIOS to arrive at our conclusion. Just in case you have forgotten what they were, here they are:

$\displaystyle \frac{OPPOSITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOSITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOSITE} = csc\:θ \\ \frac{ADJACENT}{OPPOSITE} = cot\:θ$

We can now solve for EC:

$\displaystyle cot\:60 = \frac{12}{EC} → ECcot\:60 = 12 \\ \\ \frac{ECcot\:60}{cot\:60} = \frac{12}{cot\:60} → 12\sqrt{3} = EC$

OR

$\displaystyle tan\:60 = \frac{EC}{12} → 12tan\:60 = EC → 12\sqrt{3} = EC$

Now that you have solved for EC, you can now add it to your original 10 metres to get $\displaystyle 10 + 12\sqrt{3}$ metres. As a decimal, you would get $\displaystyle 30,78460969...$ metres. You can go ahead and round this off if necessary.

** The reason why the cotangent [or tangent] ratio was used was because EA is equivalent to DB by the definition of a rectangle. It has two pairs of parallel and congruent sides with four right angles. Plus, that is the adjacent side of the triangle, while EC is the opposite side of the triangle, so we knew our ratios were correct.

I am joyous to assist you at any time.

8 0

3 years ago

What is the seventh term of the sequence?

s344n2d4d5 [400]

Answer:

-2

Step-by-step explanation:

it counts down by 3, negative 3 is the pattern

8 0

3 years ago

chris is making a table top.feom some leftover tiles.he has 9 tiles that measures 3 1\8 inches long and 2 3\4 inches wide.what i

kozerog [31]

The area of 1 tile is 3 1/8 (3.125) x 2 3/4 (2.75) = 8.59375
8.59375 x 9 = 77.34375 inches squared.
Hope this helps! :-) :-P

8 0

3 years ago

What is the length of AB?

kramer

Answer:

We are given to find the length of side AB. We know that in a triangle, if two angles have equal measures, then the sides opposite to them are equal in length. Thus, the length of side AB is 6 units.

Hope this helps!!

3 0

3 years ago

The blue dot is at what value on the number line? ? -8 -10

lesya692 [45]

Answer:

I think the answer is negative five (-5)

8 0

3 years ago