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.
Hi there!
Since the sum of all angles in any triangle always adds up to 180 degrees, we can calculate this and solve for x.
4x + x + x = 180°
6x = 180
180 ÷ 6 = x
x = 30
So, now we know that x is 30°.
Hope this helps!
Let's solve your equation step-by-step.
−7x=−2x2+15
Step 1: Subtract -2x^2+15 from both sides.
−7x−(−2x2+15)=−2x2+15−(−2x2+15)
2x2−7x−15=0
Step 2: Factor left side of equation.
(2x+3)(x−5)=0
Step 3: Set factors equal to 0.
2x+3=0 or x−5=0
x= 
or x=5
Answer:
x= or x=5
Hope this helps
Answer:
Ishaan is 49 years old.
Step-by-step explanation:
Let the present age of Christopher be 'C'.
Let the present age of Ishaan be 'I'.
From the given data, we can form equations which will help us solve the problem.
Christopher is 20 years younger than Ishaan. This means:
C = I - 20 . . . (1)
Fourteen years ago, Ishaan would have been (I -14) years old and Christopher (C - 14) years old.
From the data, I - 14 = 3(C - 14) . . . (2)
Substituting the value of C in Equation 2, we get:
I - 14 = 3(I - 20 - 14)
⇒ I - 14 = 3(I - 34)
⇒ I - 14 = 3I - 112
⇒ 2I = 112 + 14 = 98
⇒ I = 49
So, Ishaan is 49 years old.
