Question

PLEASE HELP!! ; To find the height of the peak, list the corresponding sides and angles of the two triangles you and Tyler have created (6 points: 1 point for each pair of sides or angles)

1st pic: question
2nd pic: given measurements

Answer 1

the question in the attached figure

we know that

Right triangles PBM and MTF are similar

because

angle PMB=angle TMF

and

angle BPM=angle FTM

and

angle B =angle F=90 degrees

so

corresponding sides are

BM and MF

PB and TF

PM and MT

(PB/TF)=BM/MF

solve for PB

PB=(TF*BM)/MF

where

TF=6ft

BM=20 ft

MF=3 ft

so

PB=(6*20)/3------> 40 ft

the answer is

the height of the peak is 40 ft