A park has a 333 meter (\text{m})(m)left parenthesis, start text, m, end text, right parenthesis tall tether ball pole and a 6.8\,\text{m}6.8m6, point, 8, start text, m, end text tall flagpole. The lengths of their shadows are proportional to their heights. Which of the following could be the lengths of the shadows?
Choose 2 answers:
Choose 2 answers:

(Choice A)
A
Tether ball pole shadow: 1.35\,\text{m}1.35m1, point, 35, start text, m, end text
Flagpole shadow: 3.4\,\text{m}3.4m3, point, 4, start text, m, end text

(Choice B)
B
Tether ball pole shadow: 1.8\,\text{m}1.8m1, point, 8, start text, m, end text
Flagpole shadow: 4.08\,\text{m}4.08m4, point, 08, start text, m, end text

(Choice C)
C
Tether ball pole shadow: 3.75\,\text{m}3.75m3, point, 75, start text, m, end text
Flagpole shadow: 8.35\,\text{m}8.35m8, point, 35, start text, m, end text

(Choice D)
D
Tether ball pole shadow: 0.6\,\text{m}0.6m0, point, 6, start text, m, end text
Flagpole shadow: 1.36\,\text{m}1.36m1, point, 36, start text, m, end text

(Choice E)
E
Tether ball pole shadow: 2\,\text{m}2m2, start text, m, end text
Flagpole shadow: 4.8\,\text{m}4.8m

$97520

step-by-step explanation:

add 6% to the value she got from selling the house.

sinn is the total amount of students now and m were the students before, you subtract them both (n-m) and divide that by m. then, since to get a percentage from a fraction you have to multiply by 100, your answer should look like this: n-m/m*100

step-by-step explanation:

the value of x is 9 ⇒ answer b

step-by-step explanation:

* we can solve this problem using cosine and sine rule

- in δ abc

∵ ab = 36 , bc = 28 , ac = 16

- lets find the measure of angle b using the cosine rule

∵ cos b = [ab² + bc² - ac²]/2(ab)(bc)

∴ cos b = [36² + 28² - 16²]/2(36)(28)

∴ cos b = 19/21

∴ m∠b = cos^-1(19/21) ≅ 25°

- lets find the measure of angle a using the sine rule

∵ sina/bc = sinb/ac = sinc/ab

∴ sina/28 = sin25°/16 ⇒ by using cross multiplication

∴ sina = 28 × sin25°/16

∴ sina = 0.7396

∴ m∠a = sin^-1(0.7396) ≅ 48°

- from the figure m∠abd = m∠dbc

∵ m∠abc = 25°

∴ m∠abd = 25°/2 = 12.5°

- in δabd

∵ m∠a = 48° , m∠abd = 12.5°

∵ the sum of the measures of the interior angles of any δ is 180°

∴ m∠adb = 180° - (48° + 12.5°) = 119.5°

∵ ab = 36

∵ ad = x

- use the sine rule to find x

∵ sin∠adb/ab = sin∠abd/x

∴ sin119.5°/36 = sin12.5°/x ⇒ by using cross multiplication

∴ x = 36 × sin12.5°/sin119.5° = 8.95 ≅ 9

* the value of x is 9

the answer is

d.

5.3066 m2

step-by-step explanation: