Answer:
hypotenuse=0.869...
Step-by-step explanation:
soh cah toa
xy is the adjacent side
we are looking for the hypotenuse, which is yz
cos30=6/hypotenuse
0.866=6/hypotenuse
hypotenuse=0.869...
The amount of tax would be $67.92. the total he would pay would be $916.92
Step-by-step explanation:
Height of ladder = 12ft .
Here perpendicular is height to which it reaches .
<u>When </u><u>angle </u><u>is </u><u>3</u><u>0</u><u>⁰</u><u> </u><u>:</u><u>-</u>
=> sin 30⁰ = H/12
=> ½ = H/12
=> H = 12/2
=> H = 6m ( ans )
<u>When </u><u>Angle </u><u>is </u><u>4</u><u>5</u><u>⁰</u><u> </u><u>:</u><u>-</u><u> </u>
=> sin45⁰ = H/12
=> 1/√2 = H/12
=> H = 6*√2*√2/√2
=> H = 6√2 m ( ans )
<u>When </u><u>angle</u><u> </u><u>is </u><u>6</u><u>0</u><u>⁰</u><u> </u><u>:</u><u>-</u>
=> sin60⁰ = H/12
=> √3/2 = H/12
=> H = 12 *√3/2
=> H = 6√3 ( ans )
hope it helped !
<u><em>Answer:</em></u>
(c) 4.1 km
<u><em>Explanation:</em></u>
We are given that the height of the balloon is 4 km and that it is 1 km away from the station.
Setting up the diagram that describes the given scenario, we would end up with a right-angled triangle as the one shown in the attached image
<u>where:</u>
height of the balloon = 4 km represents one side of the triangle
distance between the base of the balloon and the station = 1 km represents the other side
distance between the balloon and the station is the length we want to find and it represents the hypotenuse of the triangle.
<u>To get the length of the hypotenuse, we will use the Pythagorean theorem</u>

<u>Substitute with the givens:</u>
= √17 ≈ 4.1 km
Hope this helps :)