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KatRina [158]
3 years ago
14

you are 55 ft from a tree. the angle of elevation from your eyes, which are 4.5 ft off the ground, to the top of tree is 61 degr

ees. to the nearest foot, how tall is thr tree

Mathematics
1 answer:
malfutka [58]3 years ago
5 0
See the attached figure to better understand the problem

we know that
in the triangle ABC
tan 61=BC/AC-------> BC=AC*tan 61--------> BC=55*tan 61-----> BC=99.22 ft

tall of the tree =BC+CD-----> 99.22+4.5----> 103.72 ft------> 104 ft

the answer is
104 ft

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There are many cylinders with radius 6 meters. Let h represent the height in meters and V represent the volume in cubic meters.
KiRa [710]

The equation that represents the volume of the cylinder is 36πhhh m³.

Explanation:

Formula: volume of a cylinder = πr²h

pi =  π = 22/7

r = radius

6² πhhh

36πhhh m³

4 0
3 years ago
10 raised to negative 3 in standard notation
larisa86 [58]
Standard notation simply means the normal way or writing numbers.
10^-3= 1/10^3
1/10^3=1/1000
1/1000=0.001
Final answer: 0.001
4 0
3 years ago
Write y=-3(x-7)^2-8 in vertex form
Veronika [31]

It's in the verex form:

f(x)+a(x-h)^2+k\\\\(h,\ k)-vertex

y=-3(x-7)^2-8\\\\(7,\ -8)-vertex

7 0
3 years ago
Read 2 more answers
Clue is a board game in which you must deduce three details surrounding a murder. In the original game of Clue, the guilty perso
Amanda [17]

Answer:

The probability of making a correct random guess is 0.00053%.

Step-by-step explanation:

Since Clue is a board game in which you must deduce three details surrounding a murder, and in the original game of Clue, the guilty person can be chosen from 66 people, and there are 66 different possible weapons and 99 possible rooms, and at one point in the game, you have narrowed the possibilities down to 44 people, 55 weapons, and 77 rooms, to determine what is the probability of making a random guess of the guilty person, murder weapon, and location from your narrowed-down choices , and the guess being correct, the following calculation must be performed:

(1 / (44x55x77)) x 100 = X

(1 / 186,340) x 100 = X

0.0005366 = X

Therefore, the probability of making a correct random guess is 0.00053%.

6 0
3 years ago
Make t the subject of this formula.<br> r = 7 (t + 3)
kari74 [83]

Answer:

t= <u>r-21</u>

7

Step-by-step explanation:

r = 7(t+3)

expanding the bracket

r = 7t + 21

bringing t to the left hand side

7t = r - 21

divide both sides by seven

t= <u>r-21</u>

7

3 0
3 years ago
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