Trigonometry Answers

The base of the right prism is an equilateral triangle. The area of the base is 1,560 cm2. If the altitude of the prism is 5 meters,

____________________What is the base edge of the prism in cm?


____________________What is the lateral area of the prism in m2?


_____________________What is the volume of the prism in m3?

(NOS. 9-10) PROBLEM 3. A silo has the form of a right circular cylinder 20m in diameter and 45m
high. The lateral surface of the silo is to be painted with two coats of elastomeric paint.

______________________ 9) What is the lateral surface area of the silo in m2?

______________________ 10) If the contract calls for two coats of paint and if it is estimated that
one gallon of paint can cover 30 square meters of surface in one coating, how many gallons of paint needed to cover the lateral surface area of the silo?

(NOS. 6-8) PROBLEM 2. Twelve concrete cylindrical columns of a building are to be covered by aluminium cladding. Each pillar has a diameter of 70 cm and height of 7m.

_______________________ 6) How much concrete is needed to construct the concrete 12 columns in m3?


______________________ 7) What is the total lateral surface area of the 12 columns in m2?



______________________ 8) If one sheet of aluminum cladding is 1.2m by 2.4m, how many
sheets of aluminum is needed to cover the 12 columns?

(NOS. 2-5) PROBLEM 1. A cylindrical container of height equal to twice the diameter of its base can hold 12 liters (1L= 1,000 cm3) of water. Another cylindrical container with the same capacity has its height equal to three times the diameter of its base.



_______________________ 4) Determine the amount of aluminum required for making the first
container in cm2?


_____________________ 5) Determine the amount of aluminum required for making the
second container in cm2?

(21 - 16〖sin〗^2 x+8 cosx)/(16 〖cos〗^2 x-29-8 √15 sin⁡x ) = 2


find x

a transmission is 100 feet tall, how long should a guy wire be if it is attached 7 feet from the top and is to make an angel of 23 degrees with the ground

Let a_1,a_2,a_3,a_4,a_5 be an arithmetic progression with common difference d such that cos d=sqrt(0.2).Find cos^2(a_3) given that tg(a_1)tg(a_2) + tg(a_2)tg(a_3) + tg(a_3)tg(a_4) + tg(a_4)tg(a_5) = 16.

From a cruise ship travelling due north at 16.5 km/h, a wrecked ship x and an observation tower y are observed in line due east. One hour later the wrecked ship and the tower have bearings S34*40'E and S65*10'E.
Find the distance between the wrecked ship and the tower.

Two hot-air balloons are moored to level ground below, each at a different location. An observer at each location determines the angle of elevation to the opposite balloon as shown at the right. The observers are 2.0 km apart.
a) What is the distance separating the balloons, to the nearest tenth of a kilometre?
b) Determine the difference in height (above the ground) between the two balloons. Round your answer to the nearest metre.