Answer:
∅ ≈ 56.31°
Step-by-step explanation:
The bird is spotted flying 6000 ft from a tower . The distance of the tower from the bird is 6000 ft. The height of the tower is 9000 ft because the observer spot the distance from the top of the tower at a distance of 9000 ft.
The illustration forms a right angle triangle. The adjacent side of the triangle is 6000 ft and the height or opposite side of the triangle is 9000 ft. Using tangential ratio the angle of depression from the bird to the observer can be found as follows.
Let
∅ = angle of depression
tan ∅ = opposite/adjacent
tan ∅ = 9000/6000
tan ∅ = 1.5
∅ = tan⁻¹ 1.5
∅ = 56.309932474
∅ ≈ 56.31°
Answer:
v=6
Step-by-step explanation:
Answer:
Part a) 
Part b) 132:89 vs 132 to 89
Part c) 
Part d) 66:7 vs 66 to 7
Step-by-step explanation:
Let
x ----> the number of boys
y ----> the number girls
z ----> the number of adults
we have
x=132, y=89, z=14
Part a) Write the ratio of the number of boys to the number of girls.
To find the ratio of the number of boys to the number of girls, divide the number of boys by the number of girls
so
substitute
Part b) Write the same ratio using another form (A: B vs. A to B)
we have
The other form is
132:89 vs 132 to 89
Part c) Write the ratio of the number of boys to the number of adults
To find the ratio of the number of boys to the number of adults, divide the number of boys by the number of adults
so
substitute
Simplify
Part d) Write the same ratio using another form
The other form is
66:7 vs 66 to 7
Answer:
$8.90
Step-by-step explanation:
$2 for the 1/4 mile. That leaves 5 3/4 more miles until 6 miles. He charges 30 cents for each additional 1/4 miles, and there are twenty-three 1/4ths in 5 3/4. So, 23*30=690, which is basically $6.90 because it's 690 cents.
$6.90+$2=$8.90
Answer:
The first option is the right one.
Step-by-step explanation:
7/2. Rate is rise/run
7 is your rise
and 2 is your run
therefore, the answer is 7/2
