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Alex17521
3 months ago
8

A boy climbs to the top of a tree and sees his friend 100 feet from the base of the tree. If the tree is 25 feet tall, what is t

he angle of depression to his friend?
Mathematics
1 answer:
Inessa [12.5K]3 months ago
7 0
Visualizing the scenario is advantageous; creating a diagram would show a right triangle where the base measures 100 ft and the height is 25 ft. We can easily determine the angle using trigonometric functions as follows:

tan(theta) = 25 / 100
theta = 14.04 degrees
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Which expression gives the distance between the points (4, 6) and (7, -3)?
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The distance formula is
\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}. In the ordered pairs (4, 6), the first number 4 represents the x-coordinate while 6 is the y-coordinate. In (7, -3), 7 is the x-coordinate and -3 is the y-coordinate. Substituting these coordinates results in
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2 months ago
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The University of Central Florida's cheerleading team has eighteen males and twenty-one females. If h represents the height of a
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Answer:

The range of cheerleaders' heights lies within the interval [58, 74)

It includes all real numbers from 58 inches and above, but below 74 inches.

Step-by-step explanation:

we have

260 \leq 4h+28

Separate the combined inequality into two distinct inequalities

260 \leq 4h+28 -----> inequality A

4h+28 -----> inequality B

Solve inequality A

260 \leq 4h+28

Subtract 28 from both sides

232 \leq 4h

Split by 4 on both sides

58 \leq h

Reformulate

h \geq 58\ in

Address inequality B

4h+28

Subtract 28 from both sides

4h

Split by 4 on both sides

h

consequently

The height range of the cheerleaders is the interval [58, 74)

It consists of every real number starting from 58 inches and less than 74 inches

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Henry has $21.50 to ride the trolley around San Francisco this week. It will cost him $0.50 every time he rides. Identify the de
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Answer:

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The independent variable represents what is adjusted, while the dependent variable signifies what alters as a result of that adjustment.

In this case, the total expense for rides fluctuates with any variation in the number of rides taken.

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