Ask question

Ask question

All categories

3 years ago

14

A building that is 100 ft tall casts a shadow that makes a 30 degree angle with the ground. Approximately how long, in feet, is

the shadow across the ground? A) 0.01 B) 3.33 C) 15.61 D) 173.21

2 answers:

Pavlova-9 [17]3 years ago

7 0

The answer is D) 173.21, just had this question.

slamgirl [31]3 years ago

4 0

Using the tangent function, tan (30) = $\frac{100}{x}$ .

Therefore, the length of the shadow is approximately 173.21 feet.

You might be interested in

Ajax is 5 and 1 fourth feet tall. His sister is 3 eighths foot shorter than Ajax How tall is Ajax Sister?

user100 [1]

Answer:

$4\frac{3}{4}$ feet tall

Step-by-step explanation:

Ajax is "5 and 1 fourth feet tall", which can be written as the mixed number $5\frac{1}{4}$ .

His sister is "3 eighths foot shorter", so she's 3/8 feet shorter than 5 1/4.

So, this is just a subtraction problem:

$5\frac{1}{4} -\frac{3}{8}$

To solve this, we want to convert 5 1/4 into an improper fraction, which is: $\frac{21}{4}$ . Now, we want to find a common denominator. In this case, that common denominator is 8, so $\frac{21}{4} =\frac{42}{8}$ .

Finally, we subtract 3/8 from 42/8: $\frac{42}{8} -\frac{3}{8} =\frac{39}{8}$ . So, Ajax's sister is 39/8 feet. Converting this into a mixed number, we have: 39/8 = 4 $\frac{6}{8} =4\frac{3}{4}$ .

Therefore, Ajax's sister is $4\frac{3}{4}$ feet tall.

Hope this helps!

7 0

3 years ago

Read 2 more answers

How do you write 18 tens in standard form

Liula [17]

1800 because the 18 cant fit in the tens

7 0

3 years ago

Simplify: 8i^7+6i^5-5i^3-3i^2-7i-9

Dmitry_Shevchenko [17]

<span>Consider the remainder of the division of the power exponent of i by 4.
For a remainder r equal to 0, 1, 2 or 3, we have a power equal to 1, i, -1 or -i respectively, therefore:

</span> $8i^7+6i^5-5i^3-3i^2-7i-9 =$
$8*(-i) + 6*i - 5*(-i) - 3*(-1) - 7i - 9 =$
$- 8i + 6i + 5i + 3 - 7i - 9 =$
$3 - 9 - 8i + 6i + 5i- 7i =$
$=\boxed{- 6 - 4i}$

Answer:
$\boxed{- 6 - 4i}$

<span>

</span>

5 0

3 years ago

Calories burned varies directly to miles run. Dustin burns 190 calories for every 2 miles he runs. Part 1: Find the value of k.

Temka [501]

Answer:

C = km

k = 95

C = 665

Step-by-step explanation:

Calories burned varies directly to miles run.

Let

C = calories burned

m = miles

C = km

Dustin burns 190 calories for every 2 miles he runs

C = 190

m = 2

C = km

190 = k2

Divide both sides by 2

k = 95

equation for the direct variation.

C = km

Find how many calories Dustin will burn after running 7 miles.

C = ?

m = 7

k = 95

C = km

C = 95 × 7

= 665

5 0

3 years ago

To convert 345 millimeters to liters,which proportion should I use?

Usimov [2.4K]

I think number 2 not sure tho

3 0

3 years ago