Answer:
115m
Step-by-step explanation:
Note that one of the face of a pyramid is a right angled triangle.
Since the pyramid was about 147m tall, the height of triangle will be 147m. If one of the faces is built with one of its faces at 52° to the incline, we can find the original length of one of its sides using SOH CAH TOA
tan(theta) = opposite/adjacent
Given theta = 52°, opposite = 147m (the side directly opposite the angle)
Substituting we have;
Tan52° = 147/adjacent
Adjacent = 147/tan52°
Adjacent = 114.8m
= 115m
Therefore 115m is the original length of one of its side
Since it is about only the outer part of the aquarium which is made of glasses we need to calculate the total surface area.
Surface area of the base = 4*3 = 12 square feet
Surface area of the shorter length of wall = 3*2 = 6 square feet
since it has another wall in opposite side. It has to be multiplied with 2.
6*2 = 12 square feet
Surface area of the longer length of wall = 4*2 = 8 square feet
since it has another wall in opposite side. It has to be multiplied with 2.
8*2 = 16 square feet
Therefore the total surface area that need to be covered with glasses
12+12+16 = 40 square feet
Answer:
x = 10
Step-by-step explanation:
<u>Complementary angles mean 90 degree angle.</u>
Angle P + Angle Q = 90°
Angle P ---> 29°
Angle Q --> 6x + 1
<u>Find x</u>
Angle P + Angle Q = 90°
29 + 6x + 1 = 90°
30 + 6x = 90
6x = 90-30
6x = 60
x = 60/6
x = 10
Therefore, the value of x = 10.
Angle Q = 6x + 10 --> 6(10) + 1 --> 61°
The relationship between speed (s), distance (d), and time (t) is s = d/t. Substituting the given information, we see that 105/t < 70105 < 70t1.5 < t So, the time will be AT LEAST 1.5 hours. Hope this helps.
