Answer:
h ≈ 66.4 ft
Step-by-step explanation:
The situation can be modelled by a right triangle with h representing the height of the tree.
Using the tangent ratio in the right triangle
tan39° = = ( multiply both sides by 82 )
82 × tan39° = h , then
h ≈ 66.4 ft ( to the nearest tenth )
Answer: a. 34
Step-by-step explanation:
Answer:
Let the other number be
′
x
′
Given:LCM+HCF=600
⇒14HCF+HCF=600
⇒15HCF=600
⇒HCF=40
⇒LCM=14×40=560
Since HCFxLCM=Product of 2 numbers
=>40×560 = 280×x
⇒x=
280
40×560
⇒x=40×2
⇒x=80
hence the other number is 80.
That point will be on the perpendicular line through the origin,
y = (-1/5)x
so will satisfy
(-1/5)x = 5x +4
(-26/5)x = 4
x = 4*(-5/26) = -10/13
y = (-1/5)x = 2/13
The point of interest is (-10/13, 2/13)