Answer:
83.35 feet above ground.
Step-by-step explanation:
Please find the attachment.
We have been given that Hudson (3 feet tall) is on the beach flying a kite. His angle of elevation looking up to the kite is 40 degrees. The kite string is 125 ft long.
We can see that the string of kite forms a right triangle with an angle of elevation (40 degrees) as shown in the attachment.
To solve for h, we will use sine as sine related opposite side of a right triangle with hypotenuse.





To find the height of kite off the ground, we will add height of Hudson to 80.35 feet as well as he is flying the kite.

Therefore, the kite is approximately 83.35 feet above ground.
8w-15= 17
17+15=32
32/8
W= 4
To calculate the amount that Vince should pay back, we can use the formula of
A = P + PRT
where A is amount (unknown), P is principal ($900), R is rate of interest (1.5%).
Which in this case, Vince did follow the correct formula, but what he did wrong, it that he incorrectly changed the rate to a decimal. Instead, 1.5% should be 0.015 in decimal form.
So, the correct formula should be
A = 900 + 900(0.015x2)
A = 900 + 27
A = 927
So, the correct amount Vince should pay is $927.
Step-by-step explanation:
you know the answerv noow
Answer:
a) 150°
b) 30°
Step-by-step explanation:
It is easier to work the exterior angle first.
<h3>b)</h3>
The sum of exterior angles is 360°. The exterior angle at any vertex of a regular dodecagon will be 1/12 that:
360°/12 = 30° . . . the measure of one exterior angle
__
<h3>a)</h3>
The measure of an interior angle will be the supplement of the adjacent exterior angle.
180° -30° = 150° . . . the measure of one interior angle