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sineoko [7]
3 years ago
13

A tree grows vertically on a hillside. The hill is at a 16° angle to the horizontal. The tree casts an 18-meter shadow up the hi

ll when the angle of elevation of the sun measures
68°. How tall is the tree?

Mathematics
1 answer:
elixir [45]3 years ago
8 0
The height of the tree is the sum of the part below the line parallel to the horizontal and the part above the line parallel to the horizontal.

Height of the part below the line parallel to the horizontal = 18 sin16° = 4.96 meters
Horizontal distance of the tip of the of the shadow from the tree = 18 cos16° = 17.30 meters
Height of the part above the line parallel to the horizontal = 17.3 tan68° = 42.83 meters

Height of the tree = 4.96 + 42.83 = 47.79 meters
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At the instant that a cake is removed from the oven, the temperature of the cake is 350°F. After 10 minutes, the cake's temperat
BARSIC [14]
Once the cake is removed from the oven, it has been exposed to the room temperature of 70°F. After 10 minutes, the cake's temperature decreased to 200°F, which is 150°F cooler than it initially was (350°F). As for the what is asked, 90°F is 260°F cooler than its original temperature (350°F).

This problem can be expressed in a ratio: 
10mins:150<span>°F = N:260</span><span>°F
where N is how long it will take for</span><span> cake to cool to 90°F

</span>150<span>°FxN=10x260
</span>150N=2600
N=2600/150
N=17.33
N<span>≈20 minutes

Thus, it takes approximately 20 minutes </span><span>for the cake to cool to 90°F</span>
8 0
3 years ago
Rita is the manager of the football team, and she has been assigned the task of painting a mascot in the middle of the field. Th
Alik [6]

Answer:

25 square yards

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A = (5 yd)² = 5² yd² = 25 yd²

4 0
3 years ago
A point that has a positive x-coordinate and a positive y-coordinate is located in which quadrant?
zhuklara [117]
Quadrant I or QI

This is tough to explain but here I go
If x and y is positive, it's QI
If x is negative and y is positive it's QII
If x and y are negative, it's QIII
If x is positive and y is negative It's QIV

So the answer is C
Hopes this helps :D
5 0
3 years ago
Write an inequality equation: Lyla has $100 in her bank account. She wants to buy presents that are $5 each. Wrapping paper will
lisov135 [29]
(100 - 25) / 5
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6 0
2 years ago
The area of a rectangle is 63 m2 , and the length of the rectangle is 5 m more than double the width. find the dimensions of the
Kamila [148]
If you let x represent the width of the rectangle, then you can write the equation for area as
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The rectangle is 4.5 meters by 14 meters.

7 0
3 years ago
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