# Sun rays

If the sun's rays are at an angle 60° then famous Great Pyramid of Egypt (which is now high 137.3 meters) has 79.3 m long shadow. Calculate current height of neighboring chefren pyramid whose shadow is measured at the same time 78.8 m and the current height of the nearby Mikerinovi pyramid which at the same time throws a shadow 35.8 m long.

Result

a =  136.434 m
b =  61.984 m

#### Solution:

$k=137.3 / 79.3=\dfrac{ 1373 }{ 793 } \doteq 1.7314 \ \\ A=180/\pi \cdot \ \arctan(137.3/79.3)=180/3.1416 \cdot \ \arctan(137.3/79.3) \doteq 59.9907 \ \\ a=k \cdot \ 78.8=1.7314 \cdot \ 78.8 \doteq 136.4343 \doteq 136.434 \ \text{m}$
$b=k \cdot \ 35.8=1.7314 \cdot \ 35.8 \doteq 61.9841 \doteq 61.984 \ \text{m}$

Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

Tips to related online calculators
Check out our ratio calculator.

## Next similar math problems:

1. Tree
How tall is the tree that observed in the visual angle of 52°? If I stand 5 m from the tree and eyes are two meters above the ground.
2. High wall
I have a wall 2m high. I need a 15 degree angle (upward) to second wall 4 meters away. How high must the second wall?
Average climb of the road is given by ratio 1:15. By what angle road average climb?
4. Stairway
What angle rising stairway if step height in 17 cm and width 27 cm?
5. Maple
Maple peak is visible from a distance 3 m from the trunk from a height of 1.8 m at angle 62°. Determine the height of the maple.
6. Reflector
Circular reflector throws light cone with a vertex angle 49° and is on 33 m height tower. The axis of the light beam has with the axis of the tower angle 30°. What is the maximum length of the illuminated horizontal plane?
7. Climb
Road has climbing 1:27. How big is a angle corresponds to this climbing?
8. Reference angle
Find the reference angle of each angle:
9. Map - climb
On the map of High Tatras in scale 1:11000 are cable car stations in the Tatranska Lomnica and in the Skalnate Pleso with distance 354.6 mm. Altitude of this stations are 949 m and 1760 m. What is average angle of climb of this cable car track?
10. Slope of the pool
Calculate slope (rise:run) of the bottom of swimming pool long 30 m. Water depth at beginning of pool is 1.13 m (for children) and depth at end is 1.84 m (for swimmers). Slope express as percentage and as angle in degrees.
11. Acute angles
Sizes of acute angles in the right-angled triangle are in the ratio 1: 3. What is size of the larger of them?
12. Angles
In the triangle ABC, the ratio of angles is: a:b = 4: 5. The angle c is 36°. How big are the angles a, b?
13. Theorem prove
We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
14. Median
The median of the triangle LMN is away from vertex N 84 cm. Calculate the length of the median, which start at N.