All categories

2 years ago

PLEASE HELP ASAP ! a skyscraper casts a shadow 200 feet long is the angle of elevation of the sun is 42 the height is

Mathematics

1 answer:

levacccp [35]2 years ago

8 0

Answer:

A) 180.08 feet

Step-by-step explanation:

The diagram depicting the situation is shown in the attachment.

From the diagram the height is f ft.

The side we are trying to find is opposite to the given angle which is $42\degree$

We use the tangent ratio to obtain;

$\tan 42\degree=\frac{f}{200}$

We solve for f to get:

$f=200\tan 42\degree$

$f=180.08ft$

You might be interested in

A student scored 75 and 97 on her first two quizzes. Write and solve a compound inequality to find the possible values for a thi

Rainbow [258]

Answer:

$85 \le \frac{75 + 97 + n}{3} \le 90$ ; $83 \le n \le 98$

Step-by-step explanation:

Score of the first two quizzes: 75 and 97

Let n represent the third score

Average score would be: $\frac{75 + 97 + n}{3}$ .

Given that the average score fall between 85 and 90, this can be represented by the compound inequality as shown below:

$85 \le \frac{75 + 97 + n}{3} \le 90$

Solve for n in each statement that makes up the compound inequality:

$85 \le \frac{75 + 97 + n}{3}$

$85 \le \frac{172 + n}{3}$

Multiply both sides by 3

$85*3 \le 172 + n$

$255 \le 172 + n$

Subtract 172 from each side of the inequality

$255 - 172 \le n$

$83 \le n$

Also,

$\frac{75 + 97 + n}{3} \le 90$

$\frac{172 + n}{3} \le 90$

Multiply both sides by 3

$172 + n \le 90*3$

$172 + n \le 270$

Subtract 172 from both sides of the inequality

$n \le 270 - 172$

$n \le 98$

Combining both together, the possible values of her third quiz score would be:

$83 \le n \le 98$

3 0

2 years ago

30% of the library books in the fiction section are worn and need replacement. 10% of the nonfiction holdings are worn. The libr

Nady [450]

Answer:

0.0048 or 0.48%

Step-by-step explanation:

Please see the attached files for details.

8 0

3 years ago

What is the absolute value of the complex number -4-√2

Zepler [3.9K]

|a+bi| = √(a² + b²)

-4-√2 i -> take a = -4 and b = -√2

|-4-√2 i| = √[ (-4)² + (-√2)² ]
 = √[ 16 + 2 ]
 = √[ 18 ] = √[ 9 * 2 ]
 = 3√2
the absolute value is 3√2

6 0

2 years ago

Point M is located in the third quadrant of the coordinate plane, as shown.

Angelina_Jolie [31]

(-5.5,2) is the answer

4 0

2 years ago

Read 2 more answers

What is (x-2)(x+2) in standard from

trasher [3.6K]

Answer= x^2-4

I hope this helps.

5 0

2 years ago