36 degrees
It works out as: 42.353 feet tall rounded to 3 decimal places
The flagpole is 24 feet tall.Assuming their shadows align exactly, they form similar triangles andh/32 = 6/8Mutiply both sides by 32h = 192/8 = 24
They both have the same tangent ratio so let the flagpole be x: x/60 = 18/24 Multiply both sides by 60: x = 1080/24 x = 45 feet
Suppose the length of the shadow is s metres. Then tan(62 deg) = 45/S so that S = 45/tan(62 deg) = 45/1.88 (approx = 23.93 metres, approx.
tan(36) = H/58 where H is the height of the tower. So H = 58*tan(36) = 42 feet.
The flagpole is 15.92 metres, approx.
If we assume the the flagpole makes a 90 degree angle with the ground, then the angle of elevator for the sun is 34.778°
If you also know its shadow then you can work out the angle of elevation
5
Using trigonometry the angle of elevation is 77 degrees rounded to the nearest degree
It is nearly 40 feet
The statue is 6/2 = 3 times the length of its shadow. The flagpole is 3 times its shadow ie the flagpole is 3*10 = 30 metres.
pyramid
To find the height of the flagpole, you can use the concept of similar triangles. The ratio of the height of the flagpole to the length of its shadow should equal the ratio of the height of the meter stick (1 meter) to its shadow (1.4 meters). Therefore, the height of the flagpole can be calculated as follows: [ \text{Height of flagpole} = \frac{7.7 , \text{m}}{1.4 , \text{m}} \times 1 , \text{m} \approx 5.5 , \text{m}. ] Thus, the flagpole is approximately 5.5 meters tall.
56 feet.
84 feet tall
Not enough information has been given to solve this problem such as: What is the angle of elevation?