<span><u>Answer
</u>
18 feet and 4.5 inches
<u>Explanation
</u>
You are going to use the concept of similar triangle.
∆CED≡∆CBA
This is because they share the angle at C and also they both have an angle of 90o.
Let EC = X, then BE = 2.5X. So, BE = (X + 2.5X) = 3.5X
The scale factor EC/BC=x/3.5x=2/7
EC/BC=ED/BA=2/7
BA=7/2×63 in
The height of the tree = 220.5 inches. This is equal 18 feet and 4.5 inches.
</span>
Answer:
distance covered in 2 hours = 80 km
distance covered in 1 hour = 80÷2 = 40 km
distance covered in 7/2 hours = 40 × 7/2
= 140 km
(3 1/2hours = 7/2 hours)
Answer:
Step-by-step explanation:
x²+5x+6=x²+3x+2x+6=x(x+3)+2(x+3)=(x+3)(x+2)
so Volume=(x+3)(x+2)(x+4)
V=lwh
one of the factors is the length.
Answer:
-16
Step-by-step explanation:
5^2+7/5-7
32/-2
-16
Given:
Height of Mountain A = 5210 feet
Distance of Mountain A from a helicopter above the peak = 1000 feet
Angle of depression:
Mountain B to helicopter = 43 degrees
Mountain B to Mountain A = 19 degrees
First, draw an illustration and label the enumerated given values.
Observe that there are two right triangles formed:
From the triangle formed by the helicopter and Mountain B,
let x = total height of mountain B
y = leg of first triangle (helicopter and mountain b)
h = hypotenuse
Use the Pythagorean Theorem:
cos (43) = y / h
From the second triangle formed by mountain b and a,
cos (19) = (1000 + y) / h
solve for h and y
then, solve for the height of Mountain B:
x = 1000 + y + 5210
