Mapping – Hard Trap (CA exam style)

A topographic map has a contour interval of 10 ft.
Contours shown include elevations 960, 970, 980, 990 ft.

At a certain location:

• Point Q lies between the 970-ft and 980-ft contours
  
  

• The horizontal distance measured on the map from the 970-ft contour to Point Q is 0.72 in
  
  

• The horizontal distance measured on the map from the 970-ft contour to the 980-ft contour is 1.80 in
  
  

Additional information shown on the map:

• Map scale: 1 in = 100 ft
  
  

• Spot elevation at a nearby point: 974.6 ft
  
  

• Benchmark elevation elsewhere on the map: 952.30 ft
  
  

• North arrow rotated 22°
  
  

• Contours dashed in some areas due to vegetation
  
  

• Profile A–A′ crosses nearby but not through Point Q
  
  

Assume the slope between contours is uniform.

Question

What is the approximate elevation of Point Q?