diff --git a/Library/Homebrew/development_tools.rb b/Library/Homebrew/development_tools.rb
index 3ad70e3e93..90254d2715 100644
--- a/Library/Homebrew/development_tools.rb
+++ b/Library/Homebrew/development_tools.rb
@@ -6,7 +6,7 @@ require "version"
 # @private
 class DevelopmentTools
   class << self
-    sig { params(tool: String).returns(T.nilable(Pathname)) }
+    sig { params(tool: T.any(String, Symbol)).returns(T.nilable(Pathname)) }
     def locate(tool)
       # Don't call tools (cc, make, strip, etc.) directly!
       # Give the name of the binary you look for as a string to this method
diff --git a/Library/Homebrew/extend/os/linux/development_tools.rb b/Library/Homebrew/extend/os/linux/development_tools.rb
index d26b73f312..c9d04a4830 100644
--- a/Library/Homebrew/extend/os/linux/development_tools.rb
+++ b/Library/Homebrew/extend/os/linux/development_tools.rb
@@ -3,7 +3,7 @@
 
 class DevelopmentTools
   class << self
-    sig { params(tool: String).returns(T.nilable(Pathname)) }
+    sig { params(tool: T.any(String, Symbol)).returns(T.nilable(Pathname)) }
     def locate(tool)
       (@locate ||= {}).fetch(tool) do |key|
         @locate[key] = if needs_build_formulae? &&
diff --git a/Library/Homebrew/extend/os/mac/development_tools.rb b/Library/Homebrew/extend/os/mac/development_tools.rb
index 0df45d805d..d86403c7d6 100644
--- a/Library/Homebrew/extend/os/mac/development_tools.rb
+++ b/Library/Homebrew/extend/os/mac/development_tools.rb
@@ -10,7 +10,7 @@ class DevelopmentTools
     undef installed?, default_compiler, curl_handles_most_https_certificates?,
           subversion_handles_most_https_certificates?
 
-    sig { params(tool: String).returns(T.nilable(Pathname)) }
+    sig { params(tool: T.any(String, Symbol)).returns(T.nilable(Pathname)) }
     def locate(tool)
       (@locate ||= {}).fetch(tool) do |key|
         @locate[key] = if (located_tool = generic_locate(tool))