Name : ____________________________ Rating: _____________
Course/ Yr & Sec. ___________________ Date: _______________
Instructor: _________________________ Exercise 3.1
Solution of Right Triangles
I. Solve each right triangle ABC with C = 90o. (Draw the required figure and label the parts )
1. A = 46⁰ 37’ 2. a =12.45 c = 27 c = 21.44
III. Problem Solving
Solve the following problems, If possible draw the figure and label the parts;
1. 5.5 meters from the base of a mango tree its top was sighted as forming 390 with the ground. Find the height of the tree.
2. A 6-m
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If possible, draw the required figure: 1.There is a tree at the main gate of MSC, the height and shadow of which are exactly the same at 3PM. The distance from the top of the tree to the tip of the shadow is 14.15 ft. Find the height of the tree.
2. A farmer –cooperator in an agricultural research wishes to fence a field in the form of right triangle. If one angle is 30o and the hypotenuse is 100m, find the cost of fencing the field if each meter of fencing material costs him 80 pesos?
3. A 7 meter bamboo pole is leaning against a coconut tree. The foot of the pole is 3m from the base of the tree. What angles does the pole make with the tree if the pole reaches up to the top of the tree? (see figure).
4. A ladder of a fire truck can be turned to a maximum angle of 700 and can be extended to a maximum length of 25 meters. If the base of the ladder is mounted on the fire truck 2 m above the ground, how high above the ground will ladder
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At a point 5.5 meters from the MSC building and a horizontal line with its base, the angle of elevation of the top of the building is 58o.How high is the building?
Solution: Let h = height of the MSC building, = 58o and d = 5.5 m Draw the figure:
M
h =? S
C 58o
d = 5.5 m
Formula: tan = opp. = h adj. d
tan 58o = h 5.5
h = 5.5 ( tan 58o) h = 5.5 ( 1.600335 ) h = 8.8 m. ( the height of the building)
3. The angle of depression from an airplane to its landing area at the Gasan Airport is 64o. If the altitude of the airplane is 1600 meters, find the distance from the plane to the landing area A (Airplane)
7 inches are written on the board and the client has lost 2 inches. Therefore, you write 9 inches on the board. 5.
(eye to chin distance) Feature 6= (eye to chin distance) / (virtual top of
Lidali .L. Perez Period-3 HR-304 Math 12 questions. 1} Ratio- If there are 2 trees to the amount of sandboxes which is 1 what would the ratio be?
On the other hand, the trapezoid allows three tiles to fill, as one side of triangle is missing. I carefully studied the square table and looked at the proportion of the size of triangle, I was confident to determine the number of tiles were correct. Thus, the mathematics I used to solve this question was Measurement and Geometry which involves in using the relationship
This second measure done today was completed by the installation manager, while at the job site he spoke with Mr. Beesley and the trim work on the 4th building has been approved. As soon as I have received the paperwork back from the measure, I will provide you with the quote. I will try to have the quote back to you tomorrow, however it could be Friday. The customer is aware of this delay in getting the quote back to you.
a). Based on the observation, we assume that the distance between two stations is 0.375 KM Mean time to send = propogation time + transmission time = 375m. + 1000bits 200 x 106 m/sec. 10 000 000 bps. = 102 μsec. b).
e^3 +1; it was __ because it had been squared. Since it was __, we got the two solutions for t to be 5.48 and -3.48. I learned that "lne" equal
1. A number of different items were measured in this lab. For each of the following items, what did you find most challenging in making the measurement and how did that challenge affect the accuracy of the measurement? a) Length of the table b) Height of your partner c) Thickness of your finger
Using FIT with theses adjusted patterns I feel confident that I will complete this assignment
Review with students how many sides, and corners squares have and how they are different. 2. Explain, “I want you to work with your partner each of you have to find at least 1 thing that has the shape of a square and 1 thing that has the shape of a rectangle. So that’s at least 4 things together.”
The building is 5 stories high and has Vermont granite. The roof of the building has green Tera Cotta tile. (Murphy) The Capitols center piece is 272 feet, and weighs