diff --git a/src/core/fonts.js b/src/core/fonts.js
index 8e11ab189..8d02b5d0f 100644
--- a/src/core/fonts.js
+++ b/src/core/fonts.js
@@ -1242,8 +1242,8 @@ class Font {
       // Attempt to improve the glyph mapping for (some) composite fonts that
       // appear to lack meaningful ToUnicode data.
       if (this.composite && this.toUnicode instanceof IdentityToUnicodeMap) {
-        if (/Verdana/i.test(name)) {
-          // Fixes issue11242_reduced.pdf
+        if (/Tahoma|Verdana/i.test(name)) {
+          // Fixes issue15719.pdf and issue11242_reduced.pdf.
           applyStandardFontGlyphMap(map, getGlyphMapForStandardFonts());
         }
       }
diff --git a/test/pdfs/issue15719.pdf.link b/test/pdfs/issue15719.pdf.link
new file mode 100644
index 000000000..7fcf80766
--- /dev/null
+++ b/test/pdfs/issue15719.pdf.link
@@ -0,0 +1 @@
+https://github.com/mozilla/pdf.js/files/10075867/Error.2.Wrong.hebrew.pdf
diff --git a/test/test_manifest.json b/test/test_manifest.json
index ad74e9133..f2fdc7272 100644
--- a/test/test_manifest.json
+++ b/test/test_manifest.json
@@ -3512,6 +3512,16 @@
        "rounds": 1,
        "type": "eq"
     },
+    {  "id": "issue15719",
+       "file": "pdfs/issue15719.pdf",
+       "md5": "4a58dbe725897e787a93e26abc621191",
+       "link": true,
+       "rounds": 1,
+       "type": "eq",
+       "optionalContent": {
+         "37R": false
+       }
+    },
     {  "id": "issue11242",
        "file": "pdfs/issue11242_reduced.pdf",
        "md5": "ba50b6ee537f3e815ccfe0c99e598e05",