To answer this, you will first need to simply the expressions.


Now with the expressions simplified, you'll add the two together getting 
The height of the triangle is 8root3 meters.
We have given that,
A tree breaks due to a storm and the broken part bends,
So that the top of the tree touches the ground making an angle of 60 degrees with the ground.
The distance between the feet of the tree to the point where the top touches the ground is 16m.
Let the Height of the Tree =AB+AD
and given that BD=8 m
Now, when it breaks a part of it will remain perpendicular to the ground (AB) and the remaining part (AD) will make an angle of 30 degrees.
Now, in △ABD
cos(30)=BD/AD=BD=root3AD/2
AD=2(8)/root3
also in the same triangle

<h3>What is the height of the triangle?</h3>
Height of the tree=AB+AD


Therefore the height of the triangle is 8root3.
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Amortization Solution:
A= P[[r(1+r)^n]/[((1+r)^n)-1)]]
P= $175,000
r= .06/12; divide interest rate by 12 to get monthly interest of 0.005
n=15*12=180; multiply by 12 to get the total number of payments
A= $87500 is the total cost of principal with interest rate of 0.5% monthly
Answer:
First step to solving the equation is to subtract 10 on both sides:
10 - 10 + 5x =65 -10
5x = 55
Then, we divide by 5 on both sides!
5x ÷ 5 = 55 ÷ 5
x = 11
Our result is 11, so the answer to the problem is 11
I hope I was helpful!
Answer:
r = 6 mph and f = 11 mph
Step-by-step explanation:
Representations:
1) speed of faster cyclist: f = r + 5
2) speed of slower cyclist: r
Distances covered:
(r + 5)(5 hr) + r(5) = 55 mi (total distance covered)
Then 5r + 25 + 5r = 55, or, after reducing this equation:
r + 5 + r = 11, or
2r = 6
Then r = 6 mph and f = 11 mph