Mathematics, 08.04.2020 02:53 1234Shutthedoor

Quinn is flying a kite. The angle of elevation formed by the kite string and the ground is 40°, and the kite string forms a straight segment that is 100 feet long. Explain how to find the distance between the ground and the kite. Include a description of the triangle you drew to help you solve, including the variables and measurements you assigned to each side and angle.

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Answer from: zachcamp5298

The kite is 64.278 feet away from the ground.

Step-by-step explanation:

Step 1; The kite string measures 100 feet while it has an angle of elevation which equals 40°. So a right-angled triangle can be formed using these measurements. The angle of the triangle is 40° while the hypotenuse of the triangle measures 100 feet. We need to find the opposite side's length of the triangle.

Step 2; Since we have the hypotenuse side's length and need to calculate the opposite side's length, we use the sine of the given angle. Assume the opposite side of the triangle is x feet long.

sin 40° = = , x = sin 40° × x,

sin 40° = 0.64278, so x = 0.64278 × 100 = 64.278.

So the kite is 64.278 feet away from the ground.

Answer from: Quest

< 4, -5>

step-by-step explanation:

starting from g. we move 4 right and then 5 down to get to h. that means the vector is < 4, -5>

Can anyone plz solve this for me i will give !

Answer from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is

$y\leq -x+4$

similarly, check the second related equation.

$3(1)=0$

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

$3y> x$

15 points write a system of inequalities to represent the shaded portion of the graph

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