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dedylja [7]
3 years ago
12

The length of the shadow of a building is 120 meters, as shown below:

Mathematics
2 answers:
shepuryov [24]3 years ago
8 0
You would set up a ratio using tangent
tan 60 = x/120
120 tan 60 = x
x = 207.84 m
LETTER D
Eduardwww [97]3 years ago
3 0

Answer:

D. 207.84 m

Step-by-step explanation:

The side we are given is adjacent to, or beside, the 60° angle.  The side we are finding the measure of is opposite this angle.

The ratio of opposite to adjacent is tangent; setting up the tangent equation, we have

tan 60 = x/120

Multiply both sides by 120:

120(tan 60) = (x/120)*120

120(tan 60) = x

207.84 = x

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Solve for x.<br> -2(x-7)=16
solniwko [45]

Answer:

-1

Step-by-step explanation:

-2(x-7)=16

-2x +14=16 You distribute

      -14 -14

-2x = 2

-2     -2 you divide

and get -1 as your answer.

Hope my answer has helped you!

5 0
3 years ago
Please help homework due tomorrow!!
Alona [7]

Answer:

12-157.5  13-6ft

Step-by-step explanation:

the first one just look up 65% of 450 and minus the number you get by 450

the second one do the butterfly method

\frac{5}{12}    \frac{x}{14.4} \\

the heights on top and shadows on bottom

12x=72

x=6

4 0
2 years ago
Claire is 2 year younger than her sister. The
natta225 [31]

Given:

Claire is 2 year younger than her sister.

The  sum of ages is no less than 44 years.

To find:

Inequality and find the youngest age Claire can  be.

Solution:

Let the age of Claire be x.

Her sister's age = x+2

Sum of their ages is no less than 44 years. It means the sum ages is greater than or equal to 44.

x+(x+2)\geq 44

2x+2\geq 44

2x\geq 44-2

2x\geq 42

Divide both sides by 2.

x\geq 21

It means, Claire age can be greater than or equal to 21. So, the youngest age Claire can  be 21 years old.

Therefore, the required inequality is  2x+2\geq 44 and the correct option is B.

4 0
3 years ago
At a sale this week, a desk is being sold for $336. This is a 36% discount from the original price.
8090 [49]

Answer:

$525

Step-by-step explanation:

We can find the original price by using the formula x - 0.36x = 336, where x is the original price, 0.36 is the discount percentage (converted to decimal form), and 336 is the total amount paid after the discount is applied:

x-0.36x=336\\0.64x=336\\x=525

To check and further understand why the formula works, we can simply apply the discount to the original price and subtract the number from the original price:

525 * 0.36 = 189

525 - 189 = 336

Modeling the first formula gives us:

525 - (0.36 * 525) = 336

525 - 189 = 336

6 0
1 year ago
A lighthouse is located on an island 200 feet from the shore of the mainland as
Deffense [45]

Answer: Approximately d = 208.72

============================================================

Work Shown:

Make sure your calculator is in radian mode

A quick way to check is to compute cos(pi) and you should get -1

cos(angle) = adjacent/hypotenuse

cos(x) = 200/d

cos(0.29) = 200/d

d*cos(0.29) = 200

d = 200/cos(0.29)

d = 208.715135166392 which is approximate

d = 208.72

I rounded to two decimal places since x is rounded in that manner as well. Round however else you need if your teacher instructs.

4 0
2 years ago
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