10.) Kelly is flying a kite to which the angle of elevation is

Mathematics

1 answer:

jarptica [38.1K]3 years ago

3 0

Answer:

61.08m

Step-by-step explanation:

Let " l " be the length of the rope and " θ " the angle at which it is raised. In other words:

l = 65m
θ = 70°

As you can see, there has been made a right angle triangle. So:

$sin70 = \frac{h}{l} \\ h = l \times sin70 \\ h = 65 \times 0.9397 = 61.08 \\ h = 61.08$

So the kite is approximately 61.08m above the ground.

In order to find the sin70° i used a calculator.

You might be interested in

Find the value of x, o is the centroid

Ray Of Light [21]

Answer:

x = 14

Step-by-step explanation:

In the triangle O is the centroid.

Now, we know that the centroid divides the medians in the 2 : 1 ratio that means the distance from the centroid to the vertex and the distance from the centroid to the opposite side remains in 2 : 1 ratio.

So, from the given diagram we can write

$\frac{3x}{2x - 7} = \frac{2}{1}$

⇒ 3x = 4x - 14

⇒ x = 14 (Answer)

3 0

3 years ago

Line segment AB has vertices A(-3, 4) and B(1, -2). A dilation centered at the orgin is applied to AB. The image has vertices A(

bixtya [17]

Answer:

option 2

Step-by-step explanation:

consider the coordinates A (- 3, 4 ) and A' (- 1, $\frac{4}{3}$ )

since the dilatation is centred at the origin, then corresponding coordinates are multiples/ divisors of each other, then image to original gives scale factor.

scale factor = $\frac{A'}{A}$ = $\frac{-1}{-3}$ = $\frac{1}{3}$ and $\frac{\frac{4}{3} }{4}$ = $\frac{1}{3}$