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olga nikolaevna [1]
2 years ago
6

At a certain time of day, the angle of elevation is 40°. To the nearest foot, find the height of a tree whose shadow is 31 feet

long.
Mathematics
1 answer:
elena-s [515]2 years ago
7 0

Answer: Height of tree = 26 ft

Make a triangle ABC with 40 degrees angle. The shadow is the base of the triangle equals 31 feet.

Base = AC = 31

Perpendicular = CB = ?

Hypotenuse = AB

Using trigonometric equation

tan 40 (deg) = CB / AC

CB = Tan 40 x AC

CB = 0.83909 x 31

CB = 26.011

Thus the height of the tree = 26 ft

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Katy is on a path, moving towards a bridge. The given table represents a function that describes Katy’s distance from the bridge
Sophie [7]

Answer:

D : Katy was 300 meters from the bridge, and it took her 6 minutes to reach the bridge.

Step-by-step explanation:

Recall that x represents the time walked

When you see the first entry on the table as: x=0, that means Katy is about to start her walk, and the value to the right which represents her distance from the bridge is 300 meters. So as her walk started she was 300 meters from the bridge.

Now look at the last entry pair at the bottom of the table: the value in the "x" column (that represents the number of minutes she walked) reads: 6, and the value to the right (next column) reads 0 (0 meters from the bridge)

This is telling us that Katy was at the bridge after 6 minutes of walk. So answer D is the correct answer representing the given table of time and distance values.

3 0
3 years ago
A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area f
myrzilka [38]

Answer:

The sprinkler can spread water 18 feet away.

Step-by-step explanation:

We are given the following in the question:

Area formed by watering pattern = 1,017.36 square feet

We have to find the how far the sprinkler spread the water.

The sprinkler covers a circular area. We need to find the radius of this circular area to find the how far the sprinkler spread the water.

Area of circle =

A = \pi r^2

where r is the radius of the circle.

Putting values, we get,

1017.36 = 3.14 r^2\\\\r^2 = \dfrac{1017.36}{3.14}\\\\r^2 = 324\\r = \sqrt{324} = 18\text{ feet}

Thus, the sprinkler can spread water 18 feet away.

6 0
3 years ago
Read 2 more answers
Given the coordinates A (5, 7, -2) and B (8, 3, 4) in 3d space, express AB as:
lys-0071 [83]
The vector AB is found by subtracting the coordinates of point B from the coordinates of point A => (8, 3, 4) - (5, 7, - 2)

(8, 3, 4) - (5, 7, - 2) = (3, - 4, 6)

=>

a) a 3 x 1 column =

|  3  |
| -4  |
|  6  |

b) xi + yj + zk

=> 3i - 4j + 6k
4 0
3 years ago
If the area of a right triangle is 9/16 sq. ft. and the height is 3/4 ft, write an equation that relates the area to the base,b,
Rudik [331]

Answer:

Base = 1.5 ft

Step-by-step explanation:

Area = ½ × base × height

9/16 = ½ × base × 3/4

9/16 = 3/8 × base

base = 9/16 × 8/3

base = 3/2

base = 1½ ft

5 0
2 years ago
Which is the last operation performed when evaluating (8-2x)^2+4 for x=3
Salsk061 [2.6K]
Addition will be the last operation
6 0
3 years ago
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