Answer:
The tree is 37.5 ft tall.
Step-by-step explanation:
First, draw the tree and the ground and the line of the shadow forming a right triangle.
Draw a vertical segment on the left side of your paper about 1 inch long. Label the bottom point C and the top point A. Now from C draw a horizontal segment to the right about twice the length of vertical segment AC. Label the right endpoint of the new segment B. Now connect B and A. The vertical segment AC is the tree. Segment CB is the shadow cast by the tree on the ground. Angle C is a right angle, 90 deg. Angle B measures 32 deg. Segment CB has length 60 ft. Now we start with trigonometry.
Now we deal with triangle ABC. For the known angle B (given as 32 deg), side BC is the adjacent leg, side AC is the opposite leg, and side AB is the hypotenuse. We know the length of the shadow, which is adjacent leg BC, and it is 60 ft. We want to know side AC, which is the height of the tree and the opposite leg.
Known: measure of angle B = 32 deg
Known: adjacent leg BC = 60 ft
Find: length of opposite leg AC
The trig ratio that relates the opposite and adjacent legs is the tangent.
tan B = opp/adj
tan 32 = AC/60
AC = 60 * tan 32
AC = 37.5
Answer: The tree is 37.5 ft tall.
Let x represent the width of the garden(s). Then the length of the second garden is (3x+3). The area is the product of length and width,
90 = x(3x+3)
30 = x(x+1)
At this point, you can recognize that 5 and 6 are factors of 30 that will satisfy this equation, or you can solve the quadratic
x² +x -30 = 0
(x +6)(x -5) = 0
x = 5 . . . . . . . the negative solution does not apply
The width of the garden is 5 m.
Answer:
i think i may be <C=102
Step-by-step explanation:
Answer:
one that looks like this
Step-by-step explanation:
Step-by-step explanation:
set up a proportion for a.
225/30=x/195. x=1462.5 milligrams daily
for b, if he gets 700 mg every 8 hours he only gets it 3 times a day. 700*3 is 2100, which means he is overdosing