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mariarad [96]
2 years ago
14

I need help ! 6th grade math surface area .

Mathematics
1 answer:
N76 [4]2 years ago
7 0

Answer:12

Step-by-step explanation:

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A helicopter is flying above a town. the local high school is directly to the east of the helicopter at a 20° angle of depressio
guapka [62]
Answer: 4.5 miles

Explanation:

When you draw the situation you find two triangles.

1) Triangle to the east of the helicopter

a) elevation angle from the high school to the helicopter = depression angle from the helicopter to the high school = 20°

b) hypotensue = distance between the high school and the helicopter

c) opposite-leg to angle 20° = heigth of the helicopter

d) adyacent leg to the angle 20° = horizontal distance between the high school and the helicopter = x

2) triangle to the west of the helicopter

a) elevation angle from elementary school to the helicopter = depression angle from helicopter to the elementary school = 62°

b)  distance between the helicopter and the elementary school = hypotenuse

c) opposite-leg to angle 62° = height of the helicopter

d) adyacent-leg to angle 62° = horizontal distance between the elementary school and the helicopter = 5 - x

3) tangent ratios

a) triangle with the helicpoter and the high school

tan 20° = Height / x ⇒ height = x tan 20°

b) triangle with the helicopter and the elementary school

tan 62° = Height / (5 - x) ⇒ height = (5 - x) tan 62°

c) equal the height from both triangles:

x tan 20° = (5 - x) tan 62°

x tan 20° = 5 tan 62° - x tan 62°

x tan 20° + x tan 62° = 5 tan 62°

x  (tan 20° + tan 62°) = 5 tan 62°

⇒ x = 5 tant 62° / ( tan 20° + tan 62°)

⇒ x = 4,19 miles

=> height = x tan 20° = 4,19 tan 20° = 1,525 miles

4) Calculate the hypotenuse of this triangle:

hipotenuese ² = x² + height ² = (4.19)² + (1.525)² = 19.88 miles²

hipotenuse = 4.46 miles

Rounded to the nearest tenth = 4.5 miles

That is the distance between the helicopter and the high school.
5 0
3 years ago
Read 2 more answers
What is the solution to this equation 2/3x+1=1/6×-7
Alika [10]

Answer:

A . x= -16

Step-by-step explanation:

\\\frac{2}{3}x+1=\frac{1}{6}x-7\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\\\\frac{2}{3}x+1-1=\frac{1}{6}x-7-1\\\\\frac{2}{3}x=\frac{1}{6}x-8\\\\\mathrm{Subtract\:}\frac{1}{6}x\mathrm{\:from\:both\:sides}\\\\\frac{2}{3}x-\frac{1}{6}x=\frac{1}{6}x-8-\frac{1}{6}x\\\\= \frac{1}{2}x=-8\\\\\mathrm{Multiply\:both\:sides\:by\:2}\\\\2\times \frac{1}{2}x=2\left(-8\right)\\\\x=-16

7 0
3 years ago
A rectangle prism with a length of 5 inches, a width of 4 inches, and a height of 3 inches.
Ivenika [448]

Answer:

▶◀

Step-by-step explanation:

n/a bc you didn't explain wut to do

7 0
2 years ago
Angles X and Y are supplementary. Angle X is 3 times the measure of angle Y. What is the measure of angle X?
Andreas93 [3]

we know that

Supplementary angles are those angles whose sum is equal to 180 degrees

In this problem

x+y=180 --------> equation 1

x=3y --------> equation 2

Substitute the equation 2 in equation 1

[3y]+y=180

4y=180

y=45°

<u>Find the value of x</u>

x=3*45

x=135°

therefore

<u>the answer is </u>

The measure of angle x is 135°


4 0
3 years ago
Read 2 more answers
Someone answered before but I couldn’t get the link he posted anyone else know?
Scrat [10]

Answer:

What exactly is your question?

Step-by-step explanation:

7 0
3 years ago
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