Question

A research team wishes to determine the altitude of a mountain as follows (see figure below): They use a light source at L, mounted on a structure of height 2 meters, to shine a beam of light through the top of a pole P' through the top of the mountain M'. The height of the pole is 20 meters. The distance between the altitude of the mountain and the pole is 1000 meters. The distance between the pole and the laser is 10 meters. We assume that the light source mount, the pole and the altitude of the mountain are in the same plane. Find the altitude h of the mountain.

Answer 1

Step-by-step explanation:

Given A research team wishes to determine the altitude of a mountain as follows (see figure below): They use a light source at L, mounted on a structure of height 2 meters, to shine a beam of light through the top of a pole P' through the top of the mountain M'. The height of the pole is 20 meters. The distance between the altitude of the mountain and the pole is 1000 meters. The distance between the pole and the laser is 10 meters. We assume that the light source mount, the pole and the altitude of the mountain are in the same plane. Find the altitude h of the mountain.

• Assume there is a mountain and a light source and a pole. Draw a horizontal line form mountain to light LN touching the pole be P. Also the slant line ML from the mountain tip towards light touching the pole say P1 be represented by ML.
• Now LN, PP1 and NM are vertical to the ground and are parallel to each other. Therefore LPP1 and LNM are similar.  
• So we have the proportionality as 1000 + 10 = 1010
• So 1010 / 10 = h – 2 / 18
• Or 101 = h – 2 / 18
• Or h – 2 = 101 x 18
• Or h – 2 = 1818
• Or h = 1818 + 2
• Or h = 1820 m  

Reference link will be

https://brainly.in/question/2561302

Answer 2

Answer:We first draw a horizontal line LM. PP' and MM' are vertical to the ground and therefore parallel to each other. Since PP' and MM' are parallel, the triangles LPP' and LMM' are similar. Hence the proportionality of the sides gives:

1010 / 10 = (h - 2) / 18

Solve for h to obtain

h = 1820 meters.

Step-by-step explanation:make it brainlest:-)