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kondaur [170]
2 years ago
7

Trigonometry question worth 100 points! desperately need help

Mathematics
1 answer:
Gala2k [10]2 years ago
5 0

Answer:

Height is 40√2 m or 56.57 m

Explanation:

Use Pythagoras theorem: a² + b² = c²

where 'a' and 'b' are the legs and 'c' is the hypotenuse

Here given:

  • a = 20 meter
  • b = height
  • c = 60 meter

Substitute values:

(20)² + (h)² = 60²

400 + h² = 3600

h² = 3600 - 400

h² = 3200

h = √3200

h = 40√2

h = 56.6 meter

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Here it is. You can also use the quadratic equation to find the answer.

5 0
3 years ago
Solve |z-8|=4 a) z=-4, z=4 b) z=-12,z=12 c)z=-12,z=-4 d)z=4, z=12
mylen [45]

Answer:

We have z - 8 = 4 or z - 8 = -4;

Then, z = 12 or z = 4;

The correct answer is d).

Step-by-step explanation:


8 0
3 years ago
Clint is in study hall reading The hunger games. After 20 minutes, he is on page 151. After 45 minutes, he is on page 181. How m
alexdok [17]

Answer:

The number of pages had Clint read prior to study hall were <u>127 pages</u>.

Step-by-step explanation:

Given:

Clint after 20 minutes is on page 151.

And, after 45 minutes he is on page 181.

Now, to find the pages Clint read prior to study hall.

<em>The time difference = 45 minutes - 20 minutes.</em>

<em>                                  =  25 minutes.</em>

<em>Difference between the pages = 181 - 151</em>

<em>                                                     =  30 pages.</em>

If Clint is reading each page at same speed.

Then, in 25 minutes he can read = 30 pages.

So, in 1 minute he can read = 30 ÷ 25 = 1.2 pages.

Thus, in 20 minutes he can read =1.2\times 20

                                                         =24 pages.

Now, number of pages Clint had read prior to study hall = 151 - 24

                                                                                              =  127 pages.

Therefore, the number of pages had Clint read prior to study hall were <u>127 pages</u>.

7 0
3 years ago
You need to remove a tree from your front yard. You have climbed the tree and trimmed off the branches, and you are now ready to
ValentinkaMS [17]

Answer:

26 feet

Step-by-step explanation:

Let the length of the required wire =l

The height of the tree =24 cm

We want the tree to fall to the ground 10 feet away from the base.

Ths problem forms a right triangle which I have drawn and attached below.

To determine the length of the wire l required, we use Pythagoras theorem to solve for the hypotenuse of the right triangle.

B$y Pythagoras theorem: Hypotenuse^2=Opposite^2+Adjacent^2\\$Therefore:\\l^2=24^2+10^2\\l^2=676\\$Take the square root of both sides\\l=\sqrt{676}\\ l=26$ feet

Thw wire must be 26 feet long to reach the ground.

7 0
2 years ago
HELP ME WITH THIS (a+5)(b-3)
jonny [76]

Answer:

The answer is ab-3a+5b-15

Step-by-step explanation:

apply de disruptive property by multiplying each term a+5by each term b-3

Hope this helps :)

7 0
3 years ago
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