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andreev551 [17]
1 year ago
8

The height of the Empire State Building is 1250 feet tall. Your friend, who is 75 inches tall, is standing nearby and casts a sh

adow that is 33 inches long. What is the length of the shadow of the Empire State Building? Please help me draw triangles
Mathematics
1 answer:
Lyrx [107]1 year ago
6 0
Answer:

The length of the building's shadow = 550.66 ft

Explanations:

The height of the Empie State Building = 1250 feet

The friend's height = 75 inches

The length of the friend's shadow = 33 inches

\frac{Actual\text{ height of the friend}}{\text{Length of the friend's shadow}}=\text{ }\frac{Height\text{ of the building}}{\text{Length of the building's shadow}}\begin{gathered} \frac{75}{33}=\text{ }\frac{1250}{\text{Length of the building's shadow}} \\ 2.27\text{ =  }\frac{1250}{\text{Length of the building's shadow}} \\ \text{Length of the building's shadow = }\frac{1250}{2.27} \\ \text{Length of the building's shadow = }550.66\text{ f}et \end{gathered}

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The sum of 2 complementary angles equals 90 degrees.


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3 years ago
John made a small rectangular table for his workroom. If the sides of the table are 32 inches and 26 inches, what should the tab
matrenka [14]

Answer:

The table should measure diagonally about 41.23 inches.

Step-by-step explanation:

To find the diagonal of a rectangle we use the formula :

a^{2} + b^{2} = c^{2}

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3 years ago
CINDY made costume decorations. She used 1/10 of a meter of ribbon for each decoration which she got by cutting 3/10 of a meter
Brilliant_brown [7]

Answer:

Cindy made 3 decorations with the ribbons

Step-by-step explanation:

Since Cindy used 1/10 of a metre of ribbon to make just one decoration that she obtained by dividing 3/10 of a meter of ribbon into equal parts, then we can calculate the number of decorations that Cindy made. In this scenario, all we need is an idea on how to divide fractions and we are good to go.

If Cindy used 1/10 of a metre obtained by dividing 3/10 of a metre of ribbon to make decorations, then the number of decorations she made can be gotten by dividing 3/10 by 1/10

i.e 3/10 ÷ 1/10

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3 0
3 years ago
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See image, finding the height of a triangle with law of sines
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Answer:

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Step-by-step explanation:

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angle TDE = 117°

angle DTE = 180° - 117° - 31° = 32°

DE = 346.4 m

Side TD can be find using sine law

346.4/sin 32° = TD/sin 31°

cross multiply

346.4 × 0.51503807491  = 0.52991926423TD

178.409189149  = 0.52991926423TD

divide both sides by 0.52991926423

TD = 178.409189149/0.52991926423

TD  =  336.672397461

TD ≈ 336.67 m

The side TD becomes the hypotenuse of the new right angle triangle formed with the height of the Eiffel tower.

Using sin ratio

sin 63° = opposite/hypotenuse

sin 63° = h/336.67

cross multiply

h = 336.67 × 0.89100652418

h = 299.975166498

height of the Eiffel tower  ≈ 300.0 m(nearest tenth of a meter)

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vova2212 [387]

Answer:

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Divisors of 100

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3 years ago
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