Directions: Answer the following questions by selecting the letter of the comect answer. Write the letter of the correct answer in your answer sheet. Show your solutions. 1. From the top of the house 8 meters high, you see a dog on the ground. The angle of depression of the dog is 60° How far is the dog from the house? A. 4 meters B. 5 meters C. 4.62 meters D. 5, 26 moters 2. An airplane is at 90 meters high above the ground and is ready to land to the airport. Its distance from its position to the airport is 700 meters. What is the angle of depression? A、 7.9 ° B. 7.39 ° c. 8 ° D. 8 68 ° at point A is 3. A weather balloon is at 100 meters high above the ground. Its angle of elevation from one scientist 25 ° between the two observers? and from other scientist at point B, the angle of elevation is 55 ° . What is the distance A. 284.47 meters B. 290 meters C. 310 meters D. 248 meters 4. A zip-line is to be constructed with the design specification as shown in Figure 11. Estimate the minimum leng A. 630 feet B. Figure 11 5. A surveyor is assigned to measure the actual distance between point A and point B as shown in Figure 12. The two locations are displaced where there are existing buildings, structures, and park between them. The surveyor decided to make use of drone to perform the task. He planned to hover the drone at 500 meters above the ground and measure the angles of depression to point A and to point B using computer application. The measured angles of depression are alpha A=15 ° and alpha B=25 ° espectively. What is distance between location A and location B? Figure 12 A. 2,938.28 meters B. 3,138.28 meters C. 2,839. 3 meters D. 3.3 km

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algebra 11 months ago 2435

Dennis and Christine scored 32 and 23, respectively in the National Achievement Test. The determining factor for a college scholarship is that a student’s score should be in the top 10% of the scores of his/her graduating class. The students in the graduating class obtained the following scores. Find the 3cd quartile, 8th decile and the percentile rank of 25. D_879.2 Q_774.25 8n Third Quattlebeginpmatrix Q_3endpmatrix Decile Percentile Rank of 25 Q_3= 3N/4 =frac 3354=74.25, class 30-32 D_b= aM/10 =frac 57t16=79 ,class 33-35 25 belongs to24-26 Q_k=LB+frac RM/M -cf_bf_Qk D_k=LB+frac RB/16 -f_Bf_kk P_PR= 100/N frac P-LBf_Pl+cf_P Q_3=29.5+ 74.25-64/13 3 D_b=32.5+ 79.2-77/9 P_PR= 100/99 frac 25-23.5103+32 Q_2=29.5+ 10.25/13 3 D_B=32.5+ 2.2/9 3 P_PR=1.01frac 1.5103+32 D_a=32.5+0.7 P_PR=1.015+32 Q_2=29.5+2.4 d_n=33.2 P_PR=1.0137 Q_2=31.9 Therefore, 75% of the class scored less Therefore, 8th decile or 80% of the P_PRapprox 37% than or equal to 31.9. class scored less than or equal to 33.2. Therefore, 36% of the scores are below 25 points ACTIVITY: Determine the percentile ranks of Dennis and Christine. Did they qualify for the college scholarship?

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algebra 11 months ago 6342