find the value of x in each of the following figure.
Answers
Answer:
A. 17 foot
2.a) x=25
b) x= 15
c) x = 9
d) x =4
e) x = 13
Step-by-step explanation:
A.
GIVEN PERPENDICULAR DISTANCE = 15foot
GIVEN BASE DISTANCE = 8foot
LET THE LENGTH OF THE LADDER BE x
SO,
BY APPLYING PYTHAGORAS THEOREM,
SO,
WE KNOW,
(P)²+(B)²=(H)²
(15)²+(8)²=(x)²
225 + 64 = x²
x² = 289
x =
x = 17foot
2.a)
(P)²+(B)²=(H)²
(24)²+(7)²= (x)²
576+49=x²
x=
x=25
b)
(P)²+(B)²=(H)²
(9)²+(12)²=(x)²
81+144=x²
x=
x=15
c)
(P)²+(B)²=(H)²
(40)²+(x)²=(41)²
1600+x²=1681
x²=1681-1600
x=
x=9
d)
(P)²+(B)²=(H)²
(3)²+(x)²=(5)²
9+x²=25
x²=25-9
x=
x=4
e)
(P)²+(B)²=(H)²
(5)²+(12)²=(x)²
25+144=x²
x=
x = 13
I HOPE YOU UNDERSTOOD THE QUESTION