Arope is tied to the bottom of a hot air balloon as shown. the altitude of the balloon is 50 feet and the rope is 75 feet long. what is the angle that the rope makes with the ground? round the angle to the nearest angle.

As per the statement

The altitude of the balloon is 50 feet and the rope is 75 feet long.

⇒ Altitude of the balloon = 50 feet.

And length of the rope = 75 feet.

We have to find the angle that rope makes with ground,

Using Sine ratio:

You can see the diagram as shown below.

Here,

Opposite side =  Altitude of the balloon = 50 feet.

Hypotenuse side =  length of the rope = 75 feet.

Substitute the given values we have;

⇒ = 41.8°

Therefore, the angle that the rope makes with the ground is, 41.8 degree

step-by-step explanation:

ok so im not 100% sure but you would start by adding 5.1t and 1.9t beacuse they have the same variable. that is 7t.   then add -3.6 + 1.2 which is -2.4

so then keep that as -2.4 + 7t. i apologize if this is incorrect. best luck on your test < 3

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it