Answer:
Maximum safe height can be reached by ladder = 15.03. ft
Step-by-step explanation:
Given,
Let's assume the maximum safe height of wall = h
angle formed between ladder and ground = 70°
length of ladder = 16 ft
From the given data, it can be seen that ladder will form a right angle triangle structure with the wall
So,from the concept of trigonometry,
=> h = 16 x 0.9396
=> h = 15.03 ft
So, the maximum safe height that can be reached by the ladder will be 15.03 ft.
Answer:
2nd option
Step-by-step explanation:
makes most sense
Answer:
a = 8, b = 
Step-by-step explanation:
Given the exponential function
f(x) = a
To find a and b use the given coordinate points on the graph
Using (0, 8 ), then
8 = a
[ = 1 ] , then
a = 8
f(x) = 8
Using (2, 18 ) , then
18 = 8b² ( divide both sides by 8 )
= b² , that is
b² = 
( take the square root of both sides )
b = 
=
Thus
f(x) = 8
Answer:
y = x^2 - 4x - 6.
Step-by-step explanation:
The roots are 2 + √10 and 2 - √10, so in factor form we have:
(x - (2 + √10))(x - (2 - √10))
= ( x - 2 - √10)(x - 2 + √10)
= x^2 - 2x + √10x - 2x + 4 - 2√10 - √10x + 2√10 - √100
= x^2 -4x + 4 - 10
= x^2 - 4x - 6.
