Answer:
Step-by-step explanation:
Setting up a diagram would be helpful here, so we should have the vertical leg representing the 84-ft. tree and the horizontal leg representing the 120 ft. shadow. With the two measurements we are given, we should use the tangent ratio, opp/adj, to set up an equation to solve for the angle of elevation. So the equation will be:
tan θ = 84/120. Using the tan inverse function on the calculator, we have tan-1( 84/120) = θ and, rounding our decimal value to the nearest 10th, we have θ =35°.
The angle of elevation of the sun, formed by a 94-ft tree and its 110-ft shadow, can be found using tangent in trigonometry. The formula tan(θ) = opposite/adjacent is used, where the opposite is the height of the tree (94 ft) and the adjacent is the length of the shadow (110 ft).
In the given problem, the tree and its shadow form a right triangle with the sun forming the angle of elevation. The length of the tree represents the opposite side of the triangle, and the shadow length represents the adjacent side. To find the angle of the sun's elevation, we can use the tangent function in trigonometry, which is the ratio of the opposite side to the adjacent side.
Step 1: Define variables
Let θ be the angle of elevation.
Opposite side (o) = 94 ft.
Adjacent side (a) = 110 ft.
Step 2: Use the tangent function
The formula is tan(θ) = o/a.
Step 3: Substitute the values
We substitute our variables into the formula to get θ = tan-1(94/110).
Step 4: Calculations
You can calculate this using a scientific calculator to find the angle of elevation.
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B)False
Answer:
A
Step-by-step explanation:
rate of growth of a population with a birth rate of 30births per
1000 and a death rate of 20 deaths per 1000?
Answer:
10 growth per 1000.
Step-by-step explanation:
Given,
Rate of birth = 30 births per 1000
Rate of death = 20 deaths per 1000
As the growth in population is the difference in the number of the child take birth and the person die.
As we are calculating the rate of birth and rate of growth in per thousands of members, so the growth rate will be also in per thousands.
As we can see on every one thousand people,
total birth = 30
total death = 20
so, total growth = total birth - total growth
= 30 - 20
= 10
As at every 1000 persons, there are 10 persons survive, so the rate of growth will be 10 growth per 1000.
Answer:
6/(-2) = -3
Step-by-step explanation:
rule - when you divide positive number by a negative number then it is negatie so with the same rule applied it is
6/-2
-3
6 + (-2) means we start at 0 and go up 6 units to arrive at 6 on the number line. In terms of a building, you can think of starting on the ground floor and then going up 6 floors. Then adding on the -2 means we go down 2 floors to arrive at 6 + (-2) = 6-2 = 4
ANS:
7x
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