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Paraphin [41]
3 years ago
5

You are standing 40 meters from the base of a tree that leans 8o away from you. The angle of elevation from you to the top of th

e tree is 20o. Find the slant height of the tree.

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
3 0

Answer:

the height of the tree is <em>15.49 m</em>

<em></em>

Step-by-step explanation:

Step 1:

From the figure, we can determine ∠ATB by using the fact that the sum of all the angles in a triangle add up to 180°:

∠ ATB  = 180° - 98° - 20°

∠ ATB = 62°

Step 2:

Therefore, using the law of sines, we can determine the height of the tree.

TB / sin(20°)  = 40 / sin(62°)

TB = 40 × (sin(20°) / sin(62°))

<em>TB = 15.49 m </em>

<em></em>

Therefore, the height of the tree is <em>15.49 m</em>

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points P and Q lie 240 m apart in line with and on opposite sides of a communications tower. the angles of elevation to the top
Leona [35]

Answer:

The height of the tower is 130.5m

Step-by-step explanation:

In the question, we are given the following values:

The angles of elevation to the top of the tower from P = 50°

The angles of elevation to the top of the tower from Q = 45°

The angles of elevation to the top of the tower from P = 50°

Hence,cot P = 1/ tan(50°)

The angles of elevation to the top of the tower from Q = 45°

Hence, tan 45° = 1

In the question,we are told Points P and Q lie 240 m apart in line with and on opposite sides of a communications tower.

Therefore,

PQ = height of the tower( tan Q + 1/tan P)

240m = height of the tower( tan 45° + 1/ tan 50°)

240m = h(1 + 1/tan 50°)

h = (240 m)/(1 + 1/tan (50°))

h = 130.49863962 meters

Therefore, the height of the tower to the nearest tenth of a meter is 130.5 meters(m)

5 0
3 years ago
Alexander and Jo live 5 miles apart. They decide to leave their homes at 3 p.M. And travel toward each other. If Alexander bikes
lukranit [14]

Answer:

Step-by-step explanation:

Here is an illustration of the problem:

             ----------------------------->|<------------------

            A                                  t                     J

Alex and Jo start from their separate homes and drive towards one another.  The t indicates the time at which they meet, which is the same time for both.  Filling in a d = rt table:

              d           =        r        x        t

Alex                              14                t

Jo                                   6                t

The formula for motion is d = rt, so that means that Alex's distance is 14t and Jo's distance is 6t.

             

                      14t                               6t

   ---------------------------------->|<------------------

   A                                       t                      J

The distance between them is 5 miles, so that means that Alex's distance plus Jo's distance equals 5 miles.  In equation form:

14t + 6t = 5 and

20t = 5 so

t = .25 hours or 15 minutes.

If they leave their homes at 3 and they meet 15 minutes later, then they meet at 3:15.

3 0
3 years ago
Determine if 9 is rational or irrational and give a reason for your answer.
Irina18 [472]

Answer:

9 is an rational number because it is a whole number

Step-by-step explanation:

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3 years ago
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Answer please thanks
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Answer:

-37/6

Step-by-step explanation:

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2 years ago
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What is the weight on earth of a girl with a mass of 44 kg?
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431.2 is the answer to your question
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