29. The term used for measuring the steepness of a hill is thegrade. A grade of a to b means the hill rises a vertical unitsfor every b horizontal units. If, at some point, the hill is 3 ftabove the horizontal and the angle of elevation to that pointis 23°, what is the grade of this hill?la = 3 ft23

Given: The term used for measuring the steepness of a hill is the grade. A grade of a and b means…

Answered: 29. The term used for measuring the…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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2. Building X is 100ft tall. Building Y is 200ft away from building X, where the distance is measured from the bottoms of the two buildings. Building Y is shorter than building X. The angle of depression from the top of building X to the top of building Y is 10° (a) Draw a diagram to the right showing the two buildings. Label known lengths and angles. (b) Find the height of building Y. (c) Find the angle of depression from the top of building Y to the bottom of building X. 00303000 13. A plane took off from a runway along a 5° angle of elevation. After 120 miles along that angle, it reached cruising altitude, and leveled off. (a) How far east did the plane travel before reaching the cruising altitude? Sins - 120 10.4 = x (b) What was the cruising altitude? sins = 10.4 Cuis 120 = 108.8 14. A rectangle has sides of length 6 and 10. Find the measure of the smaller angle formed loro its two diagonals cross.
38) Refer to triangle JKL to answer the following questions: (a) What is the slope of segment JL? (b) What is the slope of altitude KM? (c) What is the equation that represents the altitude?
Q3. The angle of elevation of the top of a chimney from the top of a tower is 60° and the angle of depression of the foot of the chimney from the top of the tower is 45°. If the height of the tower is 75 m, find the height of the chimney. According to pollution control norms, the minimum height of a smoke emitting chimney should be 100 m. State if the height of the above mentioned chimney meets the pollution norms. What value is discussed in this question?
The grade of a road is 1%. What angle does the road make with the horizontal?
Find side b of the oblique triangle given that B = 11 and side a = 312 and side c = 251. Round your answer to a whole number. Use intermediate values to 3 decimal places. Add your answer
How long is the shadow (x) if the angle of elevation is 58°? 58° X 10 feet
The “tropical zone” of the Earth is located approximately between the parallels 30º N and 30º S. What percentage of the Earth's surface is located in the tropical zone?
12.Which of the following is the equation representing the direct variation " The area (A) of a triangle with a fixed altitude varies directly as the length of its base (b):? A. A = k/b B. b =Ak C. A=kb D. A = B/K
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