The answer is the third option 78 degrees
Answer:
<em>h = 8.54 units</em>
Step-by-step explanation:
<u>The Law of Cosines
</u>
It relates the length of the sides of a triangle with one of its internal angles.
Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:
Since we know the values of all three side lengths, we solve the equation for x:
For the triangle ABC in the image, a=10, b=15, c=13, thus:
Thus, A = 58.67°
For the right triangle of height h and hypotenuse 10, we use the sine ratio:
Solving for h:
h = 8.54 units
Answer:
Step-by-step explanation:
The string of a kite forms a right angle triangle with the ground. The length of the string represents the hypotenuse of the right angle triangle. The height of the kite represents the opposite side of the right angle triangle.
To determine the height of the kite, we would apply the sine trigonometric ratio which is expressed as
Sin θ = opposite side/hypotenuse.
1) if the kite makes an angle of 25° with the ground, then the height, h would be
Sin 25 = h/50
h = 50Sin25 = 50 × 0.4226
h = 21.1 feet
2) if the kite makes an angle of 45° with the ground, then the height, h would be
Sin 45 = h/50
h = 50Sin45 = 50 × 0.7071
h = 35.4 feet
The approximate difference in the height of the kite is
35.4 - 21.1 = 14.3 feet
Answer:
True.
Step-by-step explanation:
Rotations do not change the size of a shape. Dilations cause changes in the size of a shape.
16 1/2 cup servings if they are putting the grape juice and the lemonade together then that adds up to be 8 and then you have to fine how many 1/2 cups you can get out of 8 which is going to be twice as much so it's 16
