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
Using trigonometry the angle of elevation is 77 degrees rounded to the nearest degree
5
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
56 feet.
Not enough information has been given to solve this problem such as: What is the angle of elevation?
84 feet tall
First find the angle of elevation by using the tangent ratio formula:tangent = opposite (the flagpole)/adjacent (the shadow)tangent = 30/12 = 68.19859051 degreesThen rearrange the formula to find the height of the mailbox:height of mailbox = 18*tangent 68.19859051 = 44.99999......Therefore: height of mailbox = 45 inches to the nearest inch.Or,Since we have two similar right triangles whose legs are the 30 feet flagpole and its 12 feet shadow, the length x of mailbox and its 18 inches shadow, we have:18 in/x = 12 ft/30 ft (cross multiply)(12)(x) = (30)(18 in)12x = 540 in (divide by 12 to both sides)x = 45 in