Hi i need help on these question can some take out the time to explain them briefly
Safety guidelines specify that a ladder should form an angle between 70° and 80° with the ground. If a ladder is 4 m long, determine the range of distances from the wall that the foot of the ladder may be placed to fall within the safety guidelines?
A staircase is being constructed in a new house as displayed on the right. Each tread is 18 cm and each riser is 10 cm. Determine the angle of inclination of the stairs.
A tunnel must be constructed through a mountain. The angle of elevation from one side of the mountain is 38.2°. The angle of elevation from the other side of the mountain is 27.4°. The height of the mountain is 575 m. What is the length of the tunnel through this mountain?
Thanks in advance Please
hi!
Ladder:
Distance from foot of ladder to wall is , where is the angle that may vary between 70 and 80 degrees.
Denote the distance from the wall with x.
Thus,
For the mountain problem:
If I interpreted the question right, (Im swedish lol) then:
The angle the mountain walls make with the horizontal are
Denote the base of the mountain with d, then:
Here I drew a vertical line to the top of the mountain, and the length of this line is 575. Call this line h. By using the fact that , where b is the base of a right triangle, the width of the mountain so to speak becomes a sum (see above).
For the staircase, I didnīt get the question