For this case, what we must do is solve the following system of equations:
tan (50) = h / x
tan (40) = h / (x + 50)
Solving the system we have:
(x + 50) * tan (40) = h
(x) * tan (50) = h
Matching:
(x + 50) * tan (40) = (x) * tan (50)
Rewriting:
x (tan (50) - tan (40)) = 50 * tan (40)
x = 50 * tan (40) / (tan (50) - tan (40))
x = 118.9692621
Substituting:
h = (x) * tan (50)
h = (118.9692621) * tan (50)
h = 141.7820455
Answer:
The height of the building is:
h = 141.7820455 ft
Answer:
<h2>width = 6 feet</h2>
Step-by-step explanation:
let l be the length of the rectangle
let w be the width of the rectangle
The statement
The length of a rectangle is 6 feet more than three times the width of the
rectangle is written as
l = 6 + 3w
From the question
l = 24 feet
Substitute the value into the above formula and solve for the width
That's
24 = 6 + 3w
3w = 24 - 6
3w = 18
Divide both sides by 3
w = 6
Therefore
<h3>width = 6 feet</h3>
Hope this helps you
I think D because don't proportional lines go straight or sum
<u>A=1/2h(b1+b2)</u>
= 1/2(h)(30+16)
<em>>how to find h<</em>
<em>>30-16= 14/2 = 7<</em>
<em>>25²-7² = 625-49 = 576<</em>
<em>>√576 = 24 .. h=24<</em>
= 1/2(24)(30+16)
= 12(46)
A = 552 cm²
<u>P= b+b+l+l</u>
= 30+16+25+25
P = 96 cm
The answer is C.The area of the triangle in Step 3 should be doubled since there are 2 triangles.
