Answer: the height of the helicopter is 22.33 yards
Step-by-step explanation:
The diagram illustrating the scenario is shown in the attached photo. A triangle, ABC is formed.
H represents the height of the helicopter.
x + y = 52
x = 52 - y
We would apply trigonometric ratio.
tan # = opposite side/adjacent side.
Tan 48 = H/x
H = xtan48
H = tan48×(52 - y)
H = 1.1106(52-y)
Also,
Tan 35 = H/y
H = ytan35
H = 0.7002×y
H = 0.7002y
Since H = H, therefore
1.1106(52-y) = 0.7002y
57.7512 - 1.1106y = 0.7002y
0.7002y + 1.1106y = 57.7512
1.8108y = 57.7512
y = 57.7512/1.8108
y = 31.89
Recall,
H = 0.7002y
H = 0.7002 × 31.89 = 22.33 yards
Answer:
distance rate time
trip to park 24 14 25
return 30 27 25
the jogger's speed is 24
Step-by-step explanation:
Answer:
3 3/4 cubic inches,
Step-by-step explanation:
Stephanie puts 30 cubes in a box. The cubes are 1/2 inch on each side. The box holds two layers with 15 cubes in each layer. What is the volume of the box awnsers 5cubic inches, 7 1/2 cubic inches,3 3/4 cubic inches, 15 cubic inches.
✓From the question we are informed that Stephanie puts 30 cubes in a box. The cubes dimension are 0.5 inch on each of the sides.
✓ Since the sides is 0.5inch each, the volume is (0.5×0.5×0.5) The volume of one cube = (0.5 inch)³ = 0.125 inch³
✓ we can calculate the Volume of 30 cubes as
[ 30 cubes in a box × 0.125 inch³]
= 3.75 inch³
✓ 3.75 inch³ can be converted into fraction as (3 3/4) inch³ which is the third Option.
How many times does 18 go into 7? The answer is 2 times since 14/7 = 2 and we'll have 4 left over. We can say that 18/7 = 2 remainder 4. The remainder of 4 is placed over the denominator 7 to indicate we a fractional part.
Therefore, 18/7 = 2 & 4/7
<span>4/12=3/9=2/6=1/3 </span>should be the right answer. (You have to reduce.)
