MATHEMATICS HIGH SCHOOL

There is a tall tree in ivas backyard. She thinks it might hit her house if it fell over. She measures that the base of the tree is 50 feet from her house. When Iva stands at the edge of her house, the angle of elevation from her feet to the top of the tree is 50°. Ivas house is safe if the tree’s height is less than the distance from the house. The height of the tree is 50 feet, so ivas house is ____

Answers

Answer 1

Answer:

Answer:

The height of the tree is Greater than 50 feet, so Iva’s house is not safe

Step-by-step explanation:

Find the height of the tree

Let

h ----> the height of the tree

we know that

The tangent of angle of 50 degrees is equal to divide the opposite side to the angle of 50 degrees (height of the tree) by the adjacent side to the angle of 50 degrees (tree’s distance from the house)

tan(50°)=h/50

h=(50)tan(50°)=59.6 ft

therefore

The height of the tree is Greater than 50 feet, so Iva’s house is not safe

Related Questions

Which of the following tables represents a proportional relationship?A. x 8 16 24 32 y 24 48 72 96 B. x 8 9 10 11 y 24 48 72 96 C. x 32 33 34 35 y 96 72 48 24 D. x 32 36 40 44 y 96 112 128 144
Which Atom is bonded to carbon Adam in the functional group of a Keytone
There are about 200 calories in 50 grams of Swiss cheese Willie ate 70 grams of Swiss cheese about how many calories did he eat
I can run an average of 6 miles per hour. is This Continuos Or Discrete
What is 0.24 as a fraction in lowest terms

What is the solution set of –|x| = –8?

Answers

Answer:

x=-8, 8

Step-by-step explanation:

–|x| = –8

$-|x| = -8$

To solve this absolute value inequality we remove the negative sign on the left hand side

Divide both sides by $-1$

$|x| =8$

If $|x|=a$ then $x=a \ and \ x=-a$

$|x| =8$

$x=8 \ and \ x=-8$

-|x|=-8 X=-(-8) X=8 I hope that is good!

Solve the system of equations and choose the correct ordered pair. 4x + 3y = 16
7x + 6y = 31

Answers

The solution is, (1,4) is the solution of the system of equations and choose the correct ordered pair.

4x + 3y = 16

7x + 6y = 31

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

here, we have,

given that,

equation: 1

4x+3y=16

y=(16-4x)/3

equation: 2

7x+6y=31

y=(31-7x)/6

now, we have,

(16-4x)/3 = (31-7x)/6

6(16-4x) = 3(31-7x)

96-24x=93-21x

3=3x

x=1

we get,

4x+3y=16, x=1

4(1)+3y=16

4+3y=16

3y=12

y=4

so, we have,

x=1, y=4

therefore the answer is B (1,4)

To learn more on equation click:

brainly.com/question/24169758

#SPJ2

4x+3y=16 7x+6y=31
y=(16-4x)/3 y=(31-7x)/6
(16-4x)/3 = (31-7x)/6
6(16-4x) = 3(31-7x)
96-24x=93-21x
3=3x
x=1

4x+3y=16, x=1
4(1)+3y=16
4+3y=16
3y=12
y=4

x=1, y=4 therefore the answer is B (1,4)

2/3 divided 3/8 HELP !!!

Answers

Answer:

16/9 or 1 7/9

Step-by-step explanation:

2/3 ÷ 3/8

2/3 * 8/3

16/9

Best of Luck!

Using the drawing, how would you classify angles 9 and 10? A. Reflex

B. Obtuse

C. Adjacent

D. Vertical

Answers

The answer is D, I guess. Hope this helps
:)

The legs of a right triangle measure 5√2 cm and 4√2 cm. Find the area.

Answers

Area of a triangle = 1/2 × 1st leg × 2nd leg
A = 1/2 × 5√2 × 4√2
A = 1/2 × 20×2
A = 20 cm²

In short, Your Answer would be 20 cm²

Hope this helps!

The area of right triangle=1/2*leg1*leg2=20 cm2

Brainliest please get right