Answer:
The tree is 126 inches which is 10.5 feet.
Step-by-step explanation:
36x98= 3528
3528=28x
3528/28=126/12=10.5
Choice given:
<span>33.6°
39.8°
50.2°
56.4°
I drew the figure.
I got 12 ft as the hypotenuse, 10 ft as the opposite.
Sin</span>Θ = opposite / hypotenuse
SinΘ = 10/12
SinΘ = 0.83
I used the calculator to get the value of each angle using the sine function
sin(33.6°) = 0.55
sin(39.8°) = 0.64
sin(50.2°) = 0.77
sin(56.4°) = 0.83
The angle where the wire meets the ground is approximately 56.4°
You can exploit the difference-of-squares identity,
<em>a</em>² - <em>b</em>² = (<em>a</em> - <em>b</em>) (<em>a</em> + <em>b</em>)
Then
101.5² - 100.5² = (101.5 - 100.5) * (101.5 + 100.5)
101.5² - 100.5² = 1 * 202
101.5² - 100.5² = 202
Ans=24
You need to use Pythagorean theorem.
A^2+b^2=c^2
X^2+32^2=40^2
X^2+1024=1600
1600-1024=576
576=x^2
Square root of 576=x=24
