They both share the same tangent ratio so let the height of the monument be x:
500/x = 40/36
Solving the above equation gives x a value of 450 which is the height in feet.
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.
Ten is to two as 40 is to x, yielding: 200ft.
Using trigonometry its height is 12 feet
5
To find the height of the wall, we can use the concept of similar triangles. The ratio of the height of the flagpole to its shadow is the same as the ratio of the height of the wall to its shadow. Therefore, we set up the proportion: ( \frac{5 \text{ ft}}{5 \text{ ft}} = \frac{h}{13 \text{ ft}} ). Solving for ( h ), we find that the height of the wall is 13 ft.
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.
The flagpole is 15.92 metres, approx.
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.
Ten is to two as 40 is to x, yielding: 200ft.
Using trigonometry its height is 12 feet
5
To find the height of the wall, we can use the concept of similar triangles. The ratio of the height of the flagpole to its shadow is the same as the ratio of the height of the wall to its shadow. Therefore, we set up the proportion: ( \frac{5 \text{ ft}}{5 \text{ ft}} = \frac{h}{13 \text{ ft}} ). Solving for ( h ), we find that the height of the wall is 13 ft.
If you also know its shadow then you can work out the angle of elevation
First, find the ratio of fencepost-height : shadow which is 1.6 : 2.6 . This can also be written as a fraction, 1.6/2.6 . Then, multiply the flagpole's shadow by this ratio: 31.2 x 1.6/2.6 = 19.2 The flagpole is 19.2m high. The trigonometry way: On the imaginary right angled triangle formed by the fencepost and its shadow, let the angle at which the hypotenuse meets the ground = θ sinθ = 1.6/2.6 sinθ = /31.2 x/31.2 = 1.6/2.6 2.6x = 31.2 * 1.6 = 49.92 x = 19.2 The flagpole is 19.2m high.
The height of the flagpolle is 26.25 feet
The flagpole is 26 feet, 3 inches tall. (210/8 feet = 26.25 feet)Since the ratio of height to shadow is 6/8, the flagpole is also 3/4 as tall as its shadow.6/8 (man) = x/35 (pole)6/8 (35) = x210/8 = xx = 26.25 feet
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