Answer:
Biff's tree is 14 m off the ground and Rocco's tree is 7 m off the ground.
Step-by-step explanation:
Let the height of Biff's tree be represented by x, so that the height of Rocco's tree is 
.
Draw a straight line from Rocco's point of view to a point t to the middle of Biff's tree. This line divides x into two equal parts, and the angle is divided into 
each.
By alternate angle property,
Tan = 
= Tan × 10
= 7.00021
⇒ x = 2 × 7.0021
= 14. 0042
x = 14
Therefore, Biff's tree is 14 m off the ground and Rocco's tree is 7 m off the ground.
Answer:6
Step-by-step explanation:40.25 50 - 9.75 = 40.25
<h2>
Answer:</h2>
BC ≅ 11cm
<h2>
Step-by-step explanation:</h2>
To accomplish this task, follow these steps:
i. Using your ruler, draw a line AB with length 8cm as shown in Figure 1. This will give AB = 8cm
ii. Remove the ruler and place your protractor at the point A and parallel to line AB as shown in Figure 2. Make a dot at the mark 90° of the protractor (See Figure 2). For accuracy, ensure that the 180° mark of the protractor is on the line AB.
iii. From point A through the dot in (ii) above, use a ruler to draw a line AC of length 8cm as shown in Figure 3. This will give AC = 8cm and will also give angle CAB = 90°
iv. Now join points C and B by drawing a line from point A to C using a ruler as shown in Figure 4.
v. Lastly, measure the length of BC by placing your ruler on line BC as shown in Figure 5. This should give a value of about 11cm.
Therefore the length of BC = 11cm approximately.
<em>NB: All figures are attached to this response. </em>
Hello,
Use the factoration
a^2 - b^2 = (a - b)(a + b)
Then,
x^2 - 81 = x^2 - 9^2
x^2 - 9^2 = ( x - 9).(x + 9)
Then,
Lim (x^2- 81) /(x+9)
= Lim (x -9)(x+9)/(x+9)
Simplity x + 9
Lim (x -9)
Now replace x = -9
Lim ( -9 -9)
Lim -18 = -18
_______________
The second method without using factorization would be to calculate the limit by the hospital rule.
Lim f(x)/g(x) = lim f(x)'/g(x)'
Where,
f(x)' and g(x)' are the derivates.
Let f(x) = x^2 -81
f(x)' = 2x + 0
f(x)' = 2x
Let g(x) = x +9
g(x)' = 1 + 0
g(x)' = 1
Then the Lim stay:
Lim (x^2 -81)/(x+9) = Lim 2x /1
Now replace x = -9
Lim 2×-9 = Lim -18
= -18
You can’t simplify that fraction.
