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kiruha [24]
3 years ago
7

Explain how to solve the problem below. In your response, you must analyze the given information, discuss a strategy or plan to

solve the problem, determine and justify a solution, and evaluate the reasonableness of the solution.
Chad casts a shadow that is 14.3 feet long. The straight-line distance from the top of Chad’s head to the end of the shadow creates a 23° angle with the ground. How tall is Chad, to the nearest tenth of a foot?
Mathematics
1 answer:
alexandr1967 [171]3 years ago
6 0

Answer:

6.1

please give me brainliest!!

Step-by-step explanation:

Imagine right triangle with first leg to be the Chad length and second leg to be the Chad's shadow. Second leg has length 14.3 ft and since the straight-line distance from the top of Chad’s head to the end of the shadow creates a 23° angle with the ground, you could consider the trigonmetric function

tan23 = chad's length/chads shadow length

tan23 = chad's length/14.3

chad's length = 14.3 * tan23 = 6.1

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What is the value of x?<br> (geometry question)
andreyandreev [35.5K]

<u>Given</u>:

The interior angles of the triangle are 44°, 3t - 45° and x - 15°

The exterior angle of the triangle is 4t - 29°

We need to determine the value of x.

<u>Value of t:</u>

The value of t can be determined using the exterior angle theorem.

Applying the theorem, we have;

44+3t - 45=4t-29

         3t - 1=4t-29

        -t - 1=-29

              -t=-28

                t=28

Thus, the value of t is 28.

<u>Value of x:</u>

The exterior angle 4t -29 and the interior angle x - 15 are linear pairs.

Since, linear pairs add up to 180°, we have;

4t-29+x-15=180

Substituting t = 28, we get;

4(28)-29+x-15=180

  112-29+x-15=180

                   x+68=180

                           x=112

Thus, the value of x is 112.

8 0
4 years ago
jack and josh shared some sweets in the ratio 4:7 josh got 18 more sweets than jack how many sweets were there in total
Nata [24]

Answer:

66 sweets

Step-by-step explanation:

Step one:

We are told that the ratio for sharing the sweet is 4:7

that is Jack takes 4 parts and Josh takes 7 paths

If Josh got 18 more

then Let the amount that Jack got be x

so that Josh got x+18

step two:

applying the part to part method, we can find the quantity each of them go

4/7= x/x+18

cross multiply

7x= 4x+72

collect like terms

7x-4x= 72

3x=72

divide both sides by 3

x= 72/3

x= 24

so  Jack got 24 sweets

and Josh got 24+18=42 sweets

in all the sweets = 66 sweets

7 0
3 years ago
Radianes a grados 5 pi sobre 3
Brilliant_brown [7]

Answer:

5pi/3x180grados/piradianes

900/3=300 grados

Step-by-step explanation:

7 0
4 years ago
Simplify the expression.<br> (2i^16)^3 x – 5i^7
Hunter-Best [27]

Answer:

8x+5i

Step-by-step explanation:sorry if its wrong

6 0
3 years ago
I will mark you brainiest if you can answer this
MrRissso [65]
B is the correct answer because the bottom should be 8^0 which equals 1
3 0
3 years ago
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