Give lengths to the nearest unit. Give measures of angles to the nearest ten minutes. 7) A triangular lot has sides of 215m, 185m, and 125m. Find the measures of the angles at its corners. 8) From point C, both ends A and B of a proposed railroad tunnel are visible. If AC = 165m, BC = 115m, and C = 74°, find the length of the tunnel. 9) The distances from a boat B to two points A and C on the shore are known to be 100m and 80m, respectively, and ZABC = 55°. Find AC.
Give lengths to the nearest unit. Give measures of angles to the nearest ten minutes. 7) A triangular lot has sides of 215m, 185m, and 125m. Find the measures of the angles at its corners. 8) From point C, both ends A and B of a proposed railroad tunnel are visible. If AC = 165m, BC = 115m, and C = 74°, find the length of the tunnel. 9) The distances from a boat B to two points A and C on the shore are known to be 100m and 80m, respectively, and ZABC = 55°. Find AC.
Transcribed Image Text:**Problems Involving Triangles: Advanced Applications**
**Give lengths to the nearest unit. Give measures of angles to the nearest ten minutes.**
7) **Problem 1: Angle Measures in a Triangular Lot**
- A triangular lot has sides of 215m, 185m, and 125m. Find the measures of the angles at its corners.
8) **Problem 2: Railroad Tunnel Length Calculation**
- From point C, both ends A and B of a proposed railroad tunnel are visible. If AC = 165m, BC = 115m, and ∠C = 74°, find the length of the tunnel.
9) **Problem 3: Distance from Boat to Shore**
- The distances from a boat B to two points A and C on the shore are known to be 100m and 80m, respectively, and ∠ABC = 55°. Find AC.
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