Ashkate22idn
Answered

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2. Given the figure at the right, which of the following statements is correct?
300
3
3
X
A. sin 30°
B. sin 60°
3
y
C. cos30° =-
3
D. y = 6
3
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3. Orlan is standing at 15m from the base of a tree. From where he is standing, he can see the top
of the tree, If the tree is 15 m high and Orlan is 1 m tall, what is the angle of elevation of the top of the
tree?
A. 21.040
B. 32.45°
C. 43.030
D. 56.430
4. A bamboo pole is leaning against a tree. If the height of the tree is 12.2 meters and the angle
made by the pole and the ground is 40°, what is the length of the pole?
A. 7.88 m
B. 18.98 m
C. 46.88 m
D. 78.80 m
5. The angle of elevation of the sun is 27° at the same time that a flagpole casts a shadow 12 m
long. How high is the flagpole?
B. 7.42 m
A. 6.11 m
C. 8.24 m
D. 23.55 m
_6. From the top of a lighthouse 29.5 m high, the angle of depression of an observer to a boat is
28.5°. How far is the boat from the lighthouse?
A. 16.02 m
D. 54.33 m
B. 33.42 m
C. 47.54 m

Paki sagot po..plss​

Sagot :

Answer:

The angle of elevation of the top of the tree is 43°.

Solution:

tan (angle) =  

14 ÷ 15 = 0.93333333

acrtan(0.93333333) = 43°

Step-by-step explanation:

One of the given from the problem is Obiwan's distance form the tree which is 15 m. This distance will serve as the horizontal line of sight of adjacent side of the angle. Another given was that the tree is 15 m high. It was also mentioned that Obiwan is 1 m tall. You need to subtract the height of Obiwan from the height of the tree to get the opposite side of the angle. Then use the formula for tangent to get the tangent of angle of elevation. Upon getting the tangent of the angle, just do the inverse function which is arctangent to get the actual angle.

Here are links related to trigonometric functions:

6 trigonometric functions: brainly.ph/question/112716

Trigonometric functions and their inverse: brainly.ph/question/420831

Step-by-step explanation: