Ask question

Ask question

All categories

aleksandr82 [10.1K]

2 years ago

5

Valeria drives 500 meters up a hill that makes an angle of 15 degrees with the horizontal. To the nearest tenth of a meter, what

horizontal distance has she covered?

1 answer:

s344n2d4d5 [400]2 years ago

4 0

Answer:

Approximately 485 meters

Step-by-step explanation:

We can first construct a right triangle, using the 500 m length of hill as our hypotenuse. Using the fact that the cosine of an angle is the ratio of the adjacent side to the hypotenuse, we see that

$\cos{15^\circ}=\frac{x}{500}$

where x is the horizontal distance covered. Solving for x, we find this horizontal distance to be

$x=500\cos{15^\circ}\approx500(0.97)=485$

so our answer is approximately 485 m.

You might be interested in

22. Find the perimeter and area.

zmey [24]

Answer:

Part 22) The area is $A=15a^3b^6\ units^2($ and the perimeter is $P=10a^2b^4+6ab^2\ unit$

Part 24) The area is $A=16m^3n\ units^2$ and the perimeter is $P=24mn\ units$

Part 26) The area is equal to $A=9\pi x^6y^{2}\ units^2$

Step-by-step explanation:

Part 22) Find the perimeter and area

step 1

The area of a rectangle is equal to

$A=LW$

we have

$L=5(a^2)(b^4)\ units$

$W=3(a)(b^2)\ units$

Remember that

When multiply exponents with the same base, adds the exponents and maintain the base

substitute in the formula

$A=(5(a^2)(b^4))(3(a)(b^2))$

$A=15a^3b^6\ units^2$

step 2

The perimeter of a rectangle is equal to

$P=2(L+W)$

we have

$L=5(a^2)(b^4)\ units$

$W=3(a)(b^2)\ units$

substitute in the formula

$P=2(5(a^2)(b^4)+3(a)(b^2))$

$P=10a^2b^4+6ab^2\ unit$

Part 24) Find the perimeter and area

step 1

The area of triangle is equal to

$A=\frac{1}{2}bh$

where

$b=8mn\ units$

$h=4m^2\ units$

Remember that

When multiply exponents with the same base, adds the exponents and maintain the base

substitute the given values

$A=\frac{1}{2}(8mn)(4m^2)$

$A=16m^3n\ units^2$

step 2

Find the perimeter

I will assume that is an equilateral triangle (has three equal length sides)

The perimeter of an equilateral triangle is

$P=3b$

where

$b=8mn\ units$

substitute

$P=3(8mn)$

$P=24mn\ units$

Part 26) Find the area

The area of a circle is equal to

$A=\pi r^{2}$

where

$r=3x^3y\ units$

Remember the property

$(a^{m})^{n}=a^{m*n}$

substitute in the formula the given value

$A=\pi (3x^3y)^{2}$

$A=9\pi x^6y^{2}\ units^2$

6 0

2 years ago

Will.the product be positive or negative (-13) x...x (-13) 35 times

VikaD [51]

The answer will be Negative

8 0

2 years ago

Read 2 more answers

Help please i’m not really sure what the answer is

Maslowich

Answer:

The area is 48

The perimeter is 32

4 0

2 years ago

Sean Wrona is the fastest typist in the world and can type an average of about 500 words in three minutes.

VARVARA [1.3K]

Answer:

166.67 is answer of this question

7 0

2 years ago

Can you guys help me with these questions?

umka21 [38]

Answer:

13. 23 boat rides; 22 are full, and the first one has 301 passengers.

12. $11,067.50

3 0

2 years ago